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 A132315 Sum of the non-fourth powers less than or equal to n. 1
 0, 2, 5, 9, 14, 20, 27, 35, 44, 54, 65, 77, 90, 104, 119, 119, 136, 154, 173, 193, 214, 236, 259, 283, 308, 334, 361, 389, 418, 448, 479, 511, 544, 578, 613, 649, 686, 724, 763, 803, 844, 886, 929, 973, 1018, 1064, 1111, 1159, 1208, 1258, 1309, 1361, 1414, 1468 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS FORMULA Let r = floor(n^(1/4)). Then a(n) = n(n+1)/2 - (r^5/5+r^4/2+r^3/3-r/30). EXAMPLE Let n=16. 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 16th entry in the sequence. PROG (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", ")) CROSSREFS Sequence in context: A275586 A333449 A075543 * A079509 A132336 A272370 Adjacent sequences:  A132312 A132313 A132314 * A132316 A132317 A132318 KEYWORD nonn AUTHOR Cino Hilliard, Nov 07 2007 STATUS approved

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Last modified September 19 06:16 EDT 2020. Contains 337177 sequences. (Running on oeis4.)