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A124403 Sum[ i^j, {i,1,n}, {j,1,n} ] - 1. +0
1
0, 7, 55, 493, 5698, 82199, 1419759, 28501115, 651233660, 16676686695, 472883843991, 14705395791305, 497538872883726, 18193397941038735, 714950006521386975, 30046260016074301943, 1344648068888240941016 (list; graph; listen)
OFFSET

1,2

COMMENT

p divides a(p-2) for prime p>2. p^k divides a(p^k-2) for prime p>2.

FORMULA

a(n) = Sum[ i^j, {i,1,n}, {j,1,n} ] - 1. a(n) = Sum[ i*(i^n-1)/(i-1), {i,2,n} ] + n - 1. a(n) = A086787(n) - 1.

MATHEMATICA

Table[Sum[i^j, {i, 1, n}, {j, 1, n}]-1, {n, 1, 25}]

CROSSREFS

Cf. A086787 = Sum(Sum(i^j, j=1..n), i=1..n).

Sequence in context: A108628 A116862 A096307 this_sequence A005012 A123784 A091695

Adjacent sequences: A124400 A124401 A124402 this_sequence A124404 A124405 A124406

KEYWORD

nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Dec 14 2006

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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