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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 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.)