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 A190729 E.g.f. exp(x+1/6*x^3+1/24*x^4) 0
 1, 1, 1, 2, 6, 16, 46, 176, 722, 2906, 13106, 66716, 345676, 1849992, 10802156, 66543296, 418075036, 2750329276, 19145683612, 137410493656, 1012831509736, 7785886770656, 62105849642376, 507682088621632, 4271236045340056, 37171085370443576 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS FORMULA a(n)=n!*sum(k=0..n, sum(j=floor((n-k)/3)..floor((n-k)/2), binomial(j,n-k-2*j)*binomial(k,j)*2^(-2*n+2*k+3*j)*3^(-j))/k!). MATHEMATICA With[{nn=30}, CoefficientList[Series[Exp[x+x^3/6+x^4/24], {x, 0, nn}], x] Range[ 0, nn]!] (* Harvey P. Dale, Apr 08 2018 *) PROG (Maxima) a(n):=n!*sum(sum(binomial(j, n-k-2*j)*binomial(k, j)*2^(-2*n+2*k+3*j)*3^(-j), j, floor((n-k)/3), floor((n-k)/2))/k!, k, 0, n); CROSSREFS Sequence in context: A182267 A003291 A148442 * A071726 A148443 A148444 Adjacent sequences:  A190726 A190727 A190728 * A190730 A190731 A190732 KEYWORD nonn AUTHOR Vladimir Kruchinin, May 26 2011 STATUS approved

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Last modified February 21 06:40 EST 2019. Contains 320371 sequences. (Running on oeis4.)