The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A003154

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A003154

Centered 12-gonal numbers, or centered dodecagonal numbers: numbers of the form 6*k*(k-1) + 1.
(history; published version)

#221 by Michael De Vlieger at Tue Oct 13 09:19:13 EDT 2026

STATUS

proposed

approved

#220 by Eric W. Weisstein at Tue Oct 13 09:10:25 EDT 2026

STATUS

editing

proposed

#219 by Eric W. Weisstein at Tue Oct 13 09:06:31 EDT 2026

FORMULA

a(n) = 1 + Sum_{j=0..n-1} (12*j). E.g., a(23)=37 because 1 + 12*0 + 12*1 + 12*2 = 37. - _Xavier Acloque_, Oct 06 2003 [Corrected by _Eric W. Weisstein_, Oct 13 2026]

STATUS

approved

editing

#218 by Sean A. Irvine at Thu Aug 13 17:47:04 EDT 2026

COMMENTS

Convolution of the centered dodecagonal numbers (A003154) with the squares (A000290). - Klaus Purath, Aug 07 2026

CROSSREFS

Cf. A000217, A000290, A003154, A005448, A016754, A146325.

KEYWORD

nonn,easy,nice,changed

STATUS

proposed

approved

#217 by Klaus Purath at Fri Aug 07 06:04:59 EDT 2026

STATUS

editing

proposed

Discussion

Thu Aug 13

00:00

Sean A. Irvine: That doesn't make sense? A003154 is this sequence.

03:00

Klaus Purath: Sorry about this confusion. Please remove this. The right addressee is A000538.

17:47

Sean A. Irvine: Ok.

#216 by Klaus Purath at Fri Aug 07 06:04:09 EDT 2026

COMMENTS

Convolution of the centered dodecagonal numbers (A003154) with the squares (A000290). - Klaus Purath, Aug 07 2026

CROSSREFS

Cf. A000217, A000290, A003154, A005448, A016754, A146325.

STATUS

approved

editing

#215 by Amiram Eldar at Fri Jul 10 10:49:42 EDT 2026

STATUS

editing

approved

#214 by Amiram Eldar at Fri Jul 10 10:49:39 EDT 2026

MATHEMATICA

(* Alternative: *)

STATUS

approved

editing

#213 by Sean A. Irvine at Wed Nov 05 15:21:43 EST 2025

LINKS

Marco Matone and Roberto Volpato, <a href="httphttps://arxiv.org/abs/1102.0006">Vector-Valued Modular Forms from the Mumford Form, Schottky-Igusa Form, Product of Thetanullwerte and the Amazing Klein Formula</a>, arXiv:1102.0006 [math.AG], 2011-2012, c_n.

Discussion

Wed Nov 05

15:21

OEIS Server: https://oeis.org/edit/global/3061

#212 by Michael De Vlieger at Wed Oct 15 19:43:51 EDT 2025

STATUS

proposed

approved

Showing entries 1-10 | older changes