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A053729 Self-convolution of 1,4,27,256,3125,46656,... (cf. A000312). 0
1, 8, 70, 728, 9027, 132136, 2254620, 44262200, 987183525, 24718587592, 687457908306, 21034757596184, 702270963692039, 25400848001674856, 989240042333246072, 41263578858484555512, 1835070614332428285513 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

FORMULA

Sum{k=1 to n} [k^k*(n+1-k)^(n+1-k)].

EXAMPLE

a(4)= 1^1 *4^4 +2^2 *3^3 +3^3 *2^2 +4^4 *1^1= 1*256 +4*27 +27*4 +256*1= 728

CROSSREFS

Sequence in context: A152263 A142986 A123511 * A020532 A043086 A003364

Adjacent sequences:  A053726 A053727 A053728 * A053730 A053731 A053732

KEYWORD

nonn,easy

AUTHOR

Leroy Quet Feb 11 2000

EXTENSIONS

More terms from James A. Sellers (sellersj(AT)math.psu.edu), Feb 22 2000

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Last modified February 17 16:49 EST 2012. Contains 206058 sequences.