# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a113148 Showing 1-1 of 1 %I A113148 #9 Sep 08 2013 13:30:50 %S A113148 1,1,2,11,141,2928,82597,2925973,124502114,6179425823,350316271761, %T A113148 22326710345256,1579953165170881,122905129550802985, %U A113148 10423661531476766834,957176457621821573987,94608465923392572536421 %N A113148 Row 7 of table A113143; equal to INVERT of 7-fold factorials shifted one place right. %F A113148 a(n) = Sum_{j=0..k} 7^(k-j)*A111146(k, j). %F A113148 a(0) = 1; a(n+1) = Sum_{k=0..n} a(k)*A045754(n-k). %e A113148 A(x) = 1 + x + 2*x^2 + 11*x^3 + 141*x^4 + 2928*x^5 +... %e A113148 = 1/(1 - x - x^2 - 8*x^3 - 120*x^4 -...- A045754(n)*x^(n+1) %e A113148 -...). %o A113148 (PARI) {a(n)=local(x=X+X*O(X^n)); A=1/(1-x-x^2*sum(j=0,n,x^j*prod(i=0,j,7*i+1)));return(polcoeff(A,n,X))} %Y A113148 Cf. A113143, A045754 (7-fold factorials). %K A113148 nonn %O A113148 0,3 %A A113148 _Philippe Deléham_ and _Paul D. Hanna_, Oct 28 2005 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE