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 A132336 Sum of the integers from 1 to n, excluding perfect fifth powers. 2
 0, 2, 5, 9, 14, 20, 27, 35, 44, 54, 65, 77, 90, 104, 119, 135, 152, 170, 189, 209, 230, 252, 275, 299, 324, 350, 377, 405, 434, 464, 495, 495, 528, 562, 597, 633, 670, 708, 747, 787, 828, 870, 913, 957, 1002, 1048, 1095, 1143, 1192, 1242, 1293, 1345, 1398, 1452 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS T. D. Noe, Table of n, a(n) for n = 1..10000 FORMULA a(n) = A000217(n) - A000539(r) where r = floor(n^(1/5)). a(n) = n(n+1)/2 - (2r^6 + 6r^5 + 5r^4 - r^2)/12. a(n) = A000217(n) - A000539(r) where r= A178487(n). - R. J. Mathar, Oct 12 2010 EXAMPLE a(1)=0+1, excluding 0 and 1, so a(1)=0. a(2)=0+1+2, excluding 0 and 1, so a(2)=2. a(3)=0+1+2+3, excluding 0 and 1, so a(3)=2+3=5. MAPLE A000217 := proc(n) n*(n+1)/2 ; end proc: A000539 := proc(n) (2*n^6+6*n^5+5*n^4-n^2)/12 ; end proc: A132336 := proc(n) r := floor(n^(1/5)) ; A000217(n)-A000539(r); end proc: seq(A132336(n), n=1..40) ; PROG (PARI) g5(n)=for(x=1, n, r=floor(x^(1/5)); sum5=(2*r^6+6*r^5+5*r^4-r^2)/12; sn=x* (x+1)/2; print1(sn-sum5, ", ")) CROSSREFS Different from A000096. Cf. A132337. Sequence in context: A075543 A132315 A079509 * A272370 A212342 A080956 Adjacent sequences: A132333 A132334 A132335 * A132337 A132338 A132339 KEYWORD nonn AUTHOR Cino Hilliard, Nov 07 2007 EXTENSIONS Edited by the Assoc. Editors of the OEIS, Oct 12 2010. Thanks to Daniel Mondot for pointing out that the sequence needed editing. STATUS approved

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Last modified December 9 17:12 EST 2022. Contains 358702 sequences. (Running on oeis4.)