A174712 - OEIS

A174712

Triangle T(n,k) read by rows in which the right border is A000041, else zero, n >= 0.

1, 0, 1, 0, 0, 2, 0, 0, 0, 3, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 77

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

0,6

COMMENTS

Eigensequence of the triangle = A058694: (1, 1, 2, 6, 30, 210,...), i.e., given A058694 preceded by a "1", triangle A174712 * the latter variant = the same sequence but shifted left.

LINKS

Paolo Xausa, Table of n, a(n) for n = 0..11475 (rows 0..150 of the triangle, flattened).

EXAMPLE

Triangle begins:

0, 1;

0, 0, 2;

0, 0, 0, 3;

0, 0, 0, 0, 5;

0, 0, 0, 0, 0, 7;

0, 0, 0, 0, 0, 0, 11;

0, 0, 0, 0, 0, 0, 0, 15;

0, 0, 0, 0, 0, 0, 0, 0, 22;

0, 0, 0, 0, 0, 0, 0, 0, 0, 30;

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42;

...

MATHEMATICA

Array[PadLeft[{PartitionsP[#-1]}, #] &, 15] (* Paolo Xausa, Feb 21 2024 *)

CROSSREFS

Cf. A000041, A058694, A174713, A174714, A174715.

Sequence in context: A132440 A218272 A134402 * A127647 A325458 A226728

Adjacent sequences: A174709 A174710 A174711 * A174713 A174714 A174715

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Mar 27 2010

EXTENSIONS

Definition clarified by Omar E. Pol, Feb 21 2024

STATUS

approved