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A237596 Convolution triangle of A000958(n+1). 0
1, 1, 1, 3, 2, 1, 8, 7, 3, 1, 24, 22, 12, 4, 1, 75, 73, 43, 18, 5, 1, 243, 246, 156, 72, 25, 6, 1, 808, 844, 564, 283, 110, 33, 7, 1, 2742, 2936, 2046, 1092, 465, 158, 42, 8, 1, 9458, 10334, 7449, 4178, 1906, 714, 217, 52, 9, 1, 33062, 36736, 27231, 15904 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Riordan array (f(x)/x, f(x)) where f(x) is the g.f. of A000958.

Reversal of A236918.

Row sums are A109262(n+1).

Diagonal sums are A033297(n+2).

LINKS

Table of n, a(n) for n=0..58.

FORMULA

G.f. for the column k-1: ((1-sqrt((1-4x))^k/(1+sqrt(1-4*x)+2x)^k)/x

Sum_{k=0..n} T(n,k) = A109262(n+1).

EXAMPLE

Triangle begins:

1;

1, 1;

3, 2, 1;

8, 7, 3, 1;

24, 22, 12, 4, 1;

75, 73, 43, 18, 5, 1;

243, 246, 156, 72, 25, 6, 1;

808, 844, 564, 283, 110, 33, 7, 1;

...

CROSSREFS

Columns give A000958, A114495

Cf. A109262 (row sums)

Sequence in context: A110439 A327917 A065602 * A292898 A198498 A016648

Adjacent sequences:  A237593 A237594 A237595 * A237597 A237598 A237599

KEYWORD

nonn,tabl

AUTHOR

Philippe Deléham, Feb 09 2014

STATUS

approved

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Last modified April 15 02:27 EDT 2021. Contains 342974 sequences. (Running on oeis4.)