Displaying 1-10 of 13 results found.
a(n) = (2n+1)!/n!^2.
(Formerly M4198 N1752)
+10
144
1, 6, 30, 140, 630, 2772, 12012, 51480, 218790, 923780, 3879876, 16224936, 67603900, 280816200, 1163381400, 4808643120, 19835652870, 81676217700, 335780006100, 1378465288200, 5651707681620, 23145088600920, 94684453367400, 386971244197200, 1580132580471900
Numerators in expansion of 1/sqrt(1-x).
(Formerly M2508 N0992)
+10
76
1, 1, 3, 5, 35, 63, 231, 429, 6435, 12155, 46189, 88179, 676039, 1300075, 5014575, 9694845, 300540195, 583401555, 2268783825, 4418157975, 34461632205, 67282234305, 263012370465, 514589420475, 8061900920775, 15801325804719
a(n) = binomial(2*n+1,n)*(n+1)^2.
(Formerly M4855 N2075)
+10
16
1, 12, 90, 560, 3150, 16632, 84084, 411840, 1969110, 9237800, 42678636, 194699232, 878850700, 3931426800, 17450721000, 76938289920, 337206098790, 1470171918600, 6379820115900, 27569305764000, 118685861314020, 509191949220240, 2177742427450200, 9287309860732800
Denominators of coefficients for numerical differentiation.
(Formerly M4822 N2063)
+10
9
1, 1, 12, 6, 180, 10, 560, 1260, 12600, 1260, 166320, 13860, 2522520, 2702700, 2882880, 360360, 110270160, 2042040, 775975200, 162954792, 56904848, 2586584, 1427794368, 892371480, 116008292400, 120470149800, 1124388064800
Numerator of the n-th harmonic number H(n) divided by (n+1); a(n) = A001008(n) / ((n+1)* A002805(n)).
(Formerly M4765 N2036)
+10
6
1, 1, 11, 5, 137, 7, 363, 761, 7129, 671, 83711, 6617, 1145993, 1171733, 1195757, 143327, 42142223, 751279, 275295799, 55835135, 18858053, 830139, 444316699, 269564591, 34052522467, 34395742267, 312536252003, 10876020307, 9227046511387, 300151059037
Numerator of Sum_{i+j+k=n; i,j,k > 0} 1/(i*j*k).
(Formerly M2651 N1058)
+10
4
1, 3, 7, 15, 29, 469, 29531, 1303, 16103, 190553, 128977, 9061, 30946717, 39646461, 58433327, 344499373, 784809203, 169704792667, 665690574539, 5667696059, 337284946763, 7964656853269, 46951444927823, 284451446729, 1597747168263479, 816088653136373
Denominators of coefficients in Taylor series expansion of log(1+x)^2/sqrt(1+x).
(Formerly M2133 N0846)
+10
3
1, 1, 2, 24, 48, 5760, 11520, 35840, 215040, 51609600, 103219200, 13624934400, 5449973760, 1322526965760, 3606891724800, 158703235891200, 105802157260800, 14800210341396480, 29600420682792960, 3749386619820441600
Denominators of coefficients for numerical differentiation.
(Formerly M5177 N2249)
+10
3
1, 24, 5760, 322560, 51609600, 13624934400, 19837904486400, 2116043145216, 20720294477955072, 15747423803245854720, 131978409017679544320, 72852081777759108464640, 151532330097738945606451200, 2828603495157793651320422400, 19687080326298243813190139904000
Denominator of Sum_{i+j+k=n; i,j,k > 0} 1/(i*j*k).
(Formerly M1110 N0424)
+10
2
1, 2, 4, 8, 15, 240, 15120, 672, 8400, 100800, 69300, 4950, 17199000, 22422400, 33633600, 201801600, 467812800, 102918816000, 410646075840, 3555377280, 215100325440, 5162407810560, 30920671782000, 190281057120, 1085315579548200, 562756226432400, 22969641895200
Numerators of coefficients of log(1+x)/sqrt(1+x).
(Formerly M5128 N2223)
+10
2
1, 1, 23, 11, 563, 1627, 88069, 1423, 1593269, 7759469, 31730711, 46522243, 3788707301, 2888008157, 340028535787, 41743955887, 10823198495797, 2738032559863, 409741429887649, 25876414060339, 17141894231615609
Search completed in 0.017 seconds
|