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Revision History for A226492 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
a(n) = n*(11*n-5)/2.
(history; published version)
#55 by Michael De Vlieger at Sat Dec 28 10:18:46 EST 2024
STATUS

reviewed

approved

#54 by Stefano Spezia at Sat Dec 28 09:10:46 EST 2024
STATUS

proposed

reviewed

#53 by Elmo R. Oliveira at Fri Dec 27 21:16:53 EST 2024
STATUS

editing

proposed

#52 by Elmo R. Oliveira at Fri Dec 27 21:14:39 EST 2024
COMMENTS

Sequences of numbers of the form n*(n*k - k + 6)/2:

#51 by Elmo R. Oliveira at Fri Dec 27 21:13:29 EST 2024
DATA

0, 3, 17, 42, 78, 125, 183, 252, 332, 423, 525, 638, 762, 897, 1043, 1200, 1368, 1547, 1737, 1938, 2150, 2373, 2607, 2852, 3108, 3375, 3653, 3942, 4242, 4553, 4875, 5208, 5552, 5907, 6273, 6650, 7038, 7437, 7847, 8268, 8700, 9143, 9597, 10062, 10538, 11025, 11523

COMMENTS

Sum of reciprocals of a(n), for n > 0: 0.47118857003113149692081665034891...

FORMULA

From Elmo R. Oliveira, Dec 27 2024: (Start)

E.g.f.: exp(x)*x*(6 + 11*x)/2.

a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n > 2.

a(n) = n + A180223(n). (End)

CROSSREFS
STATUS

approved

editing

#50 by Charles R Greathouse IV at Thu Sep 08 08:46:05 EDT 2022
PROG

(MAGMAMagma) [n*(11*n-5)/2: n in [0..50]];

(MAGMAMagma) I:=[0, 3, 17]; [n le 3 select I[n] else 3*Self(n-1)-3*Self(n-2)+Self(n-3): n in [1..46]]; // Vincenzo Librandi, Aug 18 2013

Discussion
Thu Sep 08
08:46
OEIS Server: https://oeis.org/edit/global/2944
#49 by Harvey P. Dale at Mon Jan 14 19:18:24 EST 2019
STATUS

editing

approved

#48 by Harvey P. Dale at Mon Jan 14 19:18:20 EST 2019
MATHEMATICA

LinearRecurrence[{3, -3, 1}, {0, 3, 17}, 50] (* Harvey P. Dale, Jan 14 2019 *)

STATUS

approved

editing

#47 by Charles R Greathouse IV at Thu Sep 24 12:14:48 EDT 2015
STATUS

editing

approved

#46 by Charles R Greathouse IV at Thu Sep 24 12:14:43 EDT 2015
PROG

(PARI) a(n)=n*(11*n-5)/2 \\ Charles R Greathouse IV, Sep 24 2015

STATUS

approved

editing