A362586 - OEIS

A362586

Triangle read by rows, T(n, k) = A094088(n) * binomial(n, k).

1, 1, 1, 7, 14, 7, 121, 363, 363, 121, 3907, 15628, 23442, 15628, 3907, 202741, 1013705, 2027410, 2027410, 1013705, 202741, 15430207, 92581242, 231453105, 308604140, 231453105, 92581242, 15430207, 1619195761, 11334370327, 34003110981, 56671851635, 56671851635, 34003110981, 11334370327, 1619195761

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

OFFSET

0,4

LINKS

Table of n, a(n) for n=0..35.

EXAMPLE

[0] 1;

[1] 1, 1;

[2] 7, 14, 7;

[3] 121, 363, 363, 121;

[4] 3907, 15628, 23442, 15628, 3907;

[5] 202741, 1013705, 2027410, 2027410, 1013705, 202741;

PROG

(SageMath) # uses[TransOrdPart from A362585]

def A362586(n) -> list[int]: return TransOrdPart(2, n)

for n in range(6): print(A362586(n))

CROSSREFS

Family of triangles: A055372 (m=0, Pascal), A362585 (m=1, Fubini), this sequence (m=2, Joffe), A362849 (m=3, A278073).

Cf. A094088 (column 0 and main diagonal), A362587 (row sums).

Sequence in context: A000730 A160534 A022699 * A102654 A048727 A295123

Adjacent sequences: A362583 A362584 A362585 * A362587 A362588 A362589

KEYWORD

nonn,tabl

AUTHOR

Peter Luschny, Apr 26 2023

STATUS

approved