Search: id:A115600 Results 1-1 of 1 results found. %I A115600 %S A115600 1,1,2,4,13,43,905,15790,92494147,47283340087,8845558976879378539, %T A115600 2707131569835749037213946965347, %U A115600 2980435288285565929467276114849756995199455683357 %N A115600 a(n) = numerator of b(n), where b(1) = 1, b(n+1) = sum{k=1 to n} b(k)^((-1)^(n-k)). %C A115600 Next term has 80 digits and is too long to be shown. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 30 2006 %H A115600 Leroy Quet, Home Page (listed in lieu of email address) %e A115600 {b(n)} begins 1, 1, 2, 4, 13/2, 43/4,... %e A115600 So b(7) = 1 + 1 + 1/2 + 4 + 2/13 + 43/4 = 905/52 and therefore a(7) = 905. %p A115600 b[1]:=1: for n from 1 to 14 do b[n+1]:=sum(b[k]^((-1)^(n-k)),k=1..n) od: seq(numer(b[n]),n=1..14); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 30 2006 %Y A115600 Cf. A115587, A115601, A115602. %Y A115600 Sequence in context: A050624 A135501 A001548 this_sequence A007858 A153930 A005164 %Y A115600 Adjacent sequences: A115597 A115598 A115599 this_sequence A115601 A115602 A115603 %K A115600 frac,nonn %O A115600 1,3 %A A115600 Leroy Quet Mar 13 2006 %E A115600 More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 30 2006 Search completed in 0.001 seconds