The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A094497 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A094497

Triangular table A(n,j) = C(n,j) - C(n,j) mod n^3, difference of binomial coefficient and its residue mod n^3, read by rows.
(history; published version)

#13 by N. J. A. Sloane at Sat Oct 07 21:53:55 EDT 2017

STATUS

proposed

approved

#12 by Antti Karttunen at Sat Oct 07 21:53:06 EDT 2017

STATUS

editing

proposed

#11 by Antti Karttunen at Sat Oct 07 21:52:15 EDT 2017

LINKS

Antti Karttunen, <a href="/A094497/b094497.txt">Table of n, a(n) for n = 0..10439; the first 144 rows of triangle</a>

<a href="/index/Pas#Pascal">Index entries for triangles and arrays related to Pascal's triangle</a>

#10 by Antti Karttunen at Sat Oct 07 21:50:59 EDT 2017

NAME

aTriangular table A(n,j) = C(n,j) - C(n,j) mod n^3, difference of binomial coefficients coefficient and its residue mod n^3, the cube of n, read by rows.

LINKS

Antti Karttunen, <a href="/A094497/b094497.txt">Table of n, a(n) for n = 0..10439</a>

STATUS

approved

editing

#9 by N. J. A. Sloane at Tue Oct 15 22:32:24 EDT 2013

AUTHOR

_Labos E. (labos(AT)ana.sote.hu), Elemer_, Jun 02 2004

Discussion

Tue Oct 15

22:32

OEIS Server: https://oeis.org/edit/global/2029

#8 by Joerg Arndt at Thu Jun 28 14:22:22 EDT 2012

STATUS

proposed

approved

#7 by Charles R Greathouse IV at Thu Jun 28 14:06:07 EDT 2012

STATUS

editing

proposed

#6 by Charles R Greathouse IV at Thu Jun 28 14:06:02 EDT 2012

NAME

a[(n],j) = C[(n,j]) -Mod[ C[(n,j],) mod n^3], , difference of binomial coefficients and its residue mod n^3, the cube of n, read by rows.

COMMENTS

a[(0]) = 1 by convention.

EXAMPLE

Out of a[(1])=1 and a[(2])=1, the first deviation from A007318 is at a[(111] ) because C[(14,6]) = 3003, Mod[3003, mod 2744] = 259, a[(111]) = 2744.

STATUS

approved

editing

#5 by N. J. A. Sloane at Fri May 19 03:00:00 EDT 2006

EXAMPLE

Out of a[1]=1 and a[2]=1, the first deviation from A007318 is at a[111], because C[14,6]=3003, Mod[3003,2744]=259, a[111]=2744.

KEYWORD

easy,nonn,tabl,new

#4 by N. J. A. Sloane at Fri Feb 24 03:00:00 EST 2006

MATHEMATICA

Flatten[Table[Table[Binomial[n, j]-Mod[Binomial[n, j], n^3], {j, 0, n}], {n, 1, 14}], 1]

KEYWORD

easy,nonn,tabl,new