|
Search: id:A053729
|
|
|
| A053729 |
|
Self-convolution of 1,4,27,256,3125,46656,... (cf. A000312). |
|
+0
1
|
|
| 1, 8, 70, 728, 9027, 132136, 2254620, 44262200, 987183525, 24718587592, 687457908306, 21034757596184, 702270963692039, 25400848001674856, 989240042333246072, 41263578858484555512, 1835070614332428285513
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
LINKS
|
Leroy Quet, Home Page (listed in lieu of email address)
|
|
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 this_sequence A020532 A043086 A003364
Adjacent sequences: A053726 A053727 A053728 this_sequence 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
|
|
|
Search completed in 0.002 seconds
|
