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A108639 Sum{k=1 to n} sigma_{n-k}(k), where sigma_m(k) = sum{j|k} j^m. 1
1, 3, 6, 13, 29, 77, 229, 771, 2863, 11573, 50365, 234161, 1156039, 6031751, 33130187, 190929778, 1151198268, 7243777234, 47462906927, 323188163753, 2282922216819, 16701529748621, 126359471558613, 987316752551419 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Row sums of number triangle A109974. - Paul Barry (pbarry(AT)wit.ie), Jul 06 2005

EXAMPLE

a(5) = 1^4 + (1^3 +2^3) + (1^2 +3^2) + (1^1 +2^1 +4^1) + (1^0 +5^0) = 1 +1 +8 +1 +9 +1 +2 +4 +1 +1 = 29.

MAPLE

with(numtheory): s:=proc(n, k) local div: div:=divisors(n): sum(div[j]^k, j=1..tau(n)) end: a:=n->sum(s(i, n-i), i=1..n): seq(a(n), n=1..27); (Deutsch)

CROSSREFS

Sequence in context: A018909 A093128 A005313 * A087218 A098075 A137584

Adjacent sequences:  A108636 A108637 A108638 * A108640 A108641 A108642

KEYWORD

nonn

AUTHOR

Leroy Quet Jul 06 2005

EXTENSIONS

More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 13 2005

Edited by N. J. A. Sloane (njas(AT)research.att.com) at the suggestion of Andrew Plewe, Jun 08 2007

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Last modified February 17 07:30 EST 2012. Contains 205998 sequences.