Search: id:A023871 Results 1-1 of 1 results found. %I A023871 %S A023871 1,1,5,14,40,101,266,649,1593,3765,8813,20168,45649,101591,223654, %T A023871 486046,1045541,2225167,4692421,9804734,20318249,41766843,85218989, %U A023871 172628766,347338117,694330731,1379437080,2724353422,5350185097 %N A023871 G.f.: prod{k=1 to infty} (1 - x^k)^(-k^2). %D A023871 G. Almkvist, Asymptotic formulas and generalized Dedekind sums, Exper. Math., 7 (No. 4, 1998), pp. 343-359. %H A023871 G. Almkvist, Asymptotic formulas and generalized Dedekind sums, Exper. Math., 7 (No. 4, 1998), pp. 343-359. %F A023871 a(n)=1/n*Sum_{k=1..n} a(n-k)*sigma_3(k), n > 0, a(0)=1, where sigma_3(n)=A001158(n)=sum of cubes of divisors of n. - Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 20 2002 %Y A023871 Euler transform of squares (A000290). %Y A023871 Cf. A000219, A023872-A023878. %Y A023871 Sequence in context: A024525 A119996 A027089 this_sequence A122485 A032249 A129937 %Y A023871 Adjacent sequences: A023868 A023869 A023870 this_sequence A023872 A023873 A023874 %K A023871 nonn %O A023871 0,3 %A A023871 Olivier Gerard (olivier.gerard(AT)gmail.com) %E A023871 Definition corrected by Franklin T. Adams-Watters and R. J. Mathar, Dec 04 2006 Search completed in 0.001 seconds