Search: id:A132315 Results 1-1 of 1 results found. %I A132315 %S A132315 0,2,5,9,14,20,27,35,44,54,65,77,90,104,119,119,136,154,173,193,214,236, %T A132315 259,283,308,334,361,389,418,448,479,511,544,578,613,649,686,724,763, %U A132315 803,844,886,929,973,1018,1064,1111,1159,1208,1258,1309,1361,1414,1468 %N A132315 Sum of the non-fourth powers less than or equal to n. %F A132315 Let r = floor(n^(1/4)). Then a(n) = n(n+1)/2 - (r^5/5+r^4/2+r^3/3-r/30). %e A132315 Let n=16. %e A132315 The sum of the non-quartic numbers <= 16 is 2+3+4+5+6+7+8+9+10+11+12+13+14+15 = 119, the 16-th entry in the sequence. %o A132315 (PARI) g4(n)=for(x=1,n,r=floor(x^(1/4));sum4=r^5/5+r^4/2+r^3/3-r/30;sn=x*(x+1)/ 2;print1(sn-sum4",")) %Y A132315 Sequence in context: A132296 A112265 A075543 this_sequence A132336 A000096 A080956 %Y A132315 Adjacent sequences: A132312 A132313 A132314 this_sequence A132316 A132317 A132318 %K A132315 nonn %O A132315 1,2 %A A132315 Cino Hilliard (hillcino368(AT)hotmail.com), Nov 07 2007 Search completed in 0.001 seconds