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Search: id:A053729
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| A053729 |
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Self-convolution of 1,4,27,256,3125,46656,... (cf. A000312). |
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+0
1
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| 1, 8, 70, 728, 9027, 132136, 2254620, 44262200, 987183525, 24718587592, 687457908306, 21034757596184, 702270963692039, 25400848001674856, 989240042333246072, 41263578858484555512, 1835070614332428285513
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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FORMULA
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Sum{k=1 to n} [k^k*(n+1-k)^(n+1-k)].
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EXAMPLE
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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
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CROSSREFS
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Adjacent sequences: A053726 A053727 A053728 this_sequence A053730 A053731 A053732
Sequence in context: A152263 A142986 A123511 this_sequence A020532 A043086 A003364
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KEYWORD
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nonn,easy
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AUTHOR
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Leroy Quet Feb 11 2000
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Feb 22 2000
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