Search: id:A093115 Results 1-1 of 1 results found. %I A093115 %S A093115 0,1,1,1,5,7,10,13,17,108,159,228,317,430,572,748,5753,8125,11266,15376, %T A093115 20672,27430,35942,46575,59717,523905,708028,946875,1253880,1645224, %U A093115 2140099,2761318,3535658,4494602,5674753,7118724,69766770,90940578 %N A093115 Number of partitions of n^2 into squares not greater than n. %F A093115 Coefficient of x^(n^2) in the series expansion of Product_{k=1..floor(sqrt(n))} 1/(1 - x^(k^2)). - Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 24 2004 %e A093115 n=6: 6^2 = 9*2^2 = 8*2^2+4*1^2 = 7*2^2+8*1^2 = 6*2^2+12*1^2 = %e A093115 5*2^2+16*1^2 = 4*2^2+20*1^2 = 3*2^2+24*1^2 = 2*2^2+28*1^2 = 1*2^2+32*1^2 %e A093115 = 36*1^2, therefore a(6)=10. %Y A093115 Cf. A093116, A092362, A001156, A037444, A078134. %Y A093115 Cf. A072925. %Y A093115 A072213, A161407. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 10 2009] %Y A093115 Sequence in context: A060873 A112251 A089061 this_sequence A020936 A025074 A065503 %Y A093115 Adjacent sequences: A093112 A093113 A093114 this_sequence A093116 A093117 A093118 %K A093115 nonn %O A093115 0,5 %A A093115 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 21 2004 %E A093115 More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 24 2004 Search completed in 0.001 seconds