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

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:
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;
...

Mathematica

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

Crossrefs

Cf. A000041, A056694, 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