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 A187806 G.f.: 1/(1-x) = Sum_{n>=0} a(n)*x^n * Product_{k=1..n+1} (1-k*x). 0
 1, 2, 7, 39, 314, 3388, 46409, 776267, 15406059, 354928082, 9330754204, 276092552520, 9092298247070, 330151121828252, 13114259187006717, 566025800996830823, 26391137839213285415, 1322515573450223865750, 70912312814053387968103, 4052279260763983306587339 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Compare to: 1 = Sum_{n>=0} A082161(n)*x^n * Product_{k=1..n+1} (1-k*x). LINKS EXAMPLE 1/(1-x) = (1-x) + 2*x*(1-x)*(1-2*x) + 7*x^2*(1-x)*(1-2*x)*(1-3*x) + 39*x^3*(1-x)*(1-2*x)*(1-3*x)*(1-4*x) + 314*x^4*(1-x)*(1-2*x)*(1-3*x)*(1-4*x)*(1-5*x) + 3388*x^5*(1-x)*(1-2*x)*(1-3*x)*(1-4*x)*(1-5*x)*(1-6*x) +... PROG (PARI) {a(n)=if(n==0, 1, 1-polcoeff(sum(k=0, n-1, a(k)*x^k*prod(j=1, k+1, 1-j*x+x*O(x^n))), n))} for(n=0, 20, print1(a(n), ", ")) CROSSREFS Cf. A082161, A118805. Sequence in context: A060073 A322152 A336185 * A300519 A103365 A145086 Adjacent sequences:  A187803 A187804 A187805 * A187807 A187808 A187809 KEYWORD nonn AUTHOR Paul D. Hanna, Jan 06 2013 STATUS approved

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Last modified September 27 19:34 EDT 2021. Contains 347694 sequences. (Running on oeis4.)