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A073474 Triangle T(n,k) read by rows, where o.g.f. for T(n,k) is n!*Sum_{k=0..n} (1+x)^(n-k)/k!. 0
1, 2, 1, 5, 6, 2, 16, 33, 24, 6, 65, 196, 228, 120, 24, 326, 1305, 2120, 1740, 720, 120, 1957, 9786, 20550, 23160, 14760, 5040, 720, 13700, 82201, 212352, 305970, 265440, 138600, 40320, 5040, 109601, 767208, 2356424, 4146576, 4571280, 3232320 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Row sums give A010844.

LINKS

Table of n, a(n) for n=0..41.

FORMULA

E.g.f.: exp(x)/(1-x-x*y). - Vladeta Jovovic, Oct 17 2003

EXAMPLE

Triangle begins:

[1];

[2, 1];

[5, 6, 2];

[16, 33, 24, 6];

[65, 196, 228, 120, 24];

[326, 1305, 2120, 1740, 720, 120];

MAPLE

G:=simplify(series(exp(x)/(1-x-x*y), x=0, 13)): P[0]:=1: for n from 1 to 11 do P[n]:=sort(n!*coeff(G, x^n)) od: seq(seq(coeff(y*P[n], y^k), k=1..n+1), n=0..9);

CROSSREFS

Cf. A000522, A073107.

Sequence in context: A234950 A275228 A118984 * A067311 A162750 A075680

Adjacent sequences:  A073471 A073472 A073473 * A073475 A073476 A073477

KEYWORD

easy,nonn,tabl

AUTHOR

Vladeta Jovovic, Aug 26 2002

EXTENSIONS

Edited by Emeric Deutsch, Jun 10 2004

STATUS

approved

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Last modified March 23 16:52 EDT 2019. Contains 321432 sequences. (Running on oeis4.)