0,3

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

Franklin T. Adams-Watters, Table of n, a(n) for n = 0..500

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

Multiplicative with a(p^e) = p^(5e). - David W. Wilson (davidwwilson(AT)comcast.net), Aug 01, 2001.

a(n) = {least common multiple of n and (n-1)^4}-(n-1)^4. E.g.: {least common multiple of 1 and (1-1)^4}-(1-1)^4 = 0, {least common multiple of 2 and (2-1)^4}-(2-1)^4 = 1, {least common multiple of 3 and (3-1)^4}-(3-1)^4 = 32, {least common multiple of 4 and (4-1)^4}-(4-1)^4 = 243, ... - Mats Granvik (mgranvik(AT)abo.fi), Sep 24 2007

a:=n->sum(sum(n^3, j=1..n), k=1..n): seq(a(n), n=0..29); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 09 2007

A000584:=(1+26*z+66*z**2+26*z**3+z**4)/(z-1)**6; [Conjectured by S. Plouffe in his 1992 dissertation.]

Partial sums give A000539.

Cf. A000012, A001477, A000290, A000578, A000583, A000539, A062392.

Sequence in context: A104782 A017674 A055014 this_sequence A050752 A113850 A046454

Adjacent sequences: A000581 A000582 A000583 this_sequence A000585 A000586 A000587

nonn,easy,mult

njas

More terms from Henry Bottomley (se16(AT)btinternet.com), Jun 21 2001

More terms from Mats Granvik (mgranvik(AT)abo.fi), Sep 24 2007