|
Search: id:A089665
|
|
|
| A089665 |
|
Let S2 := (n,t)->add( k^t * (add( binomial(n,j), j=0..k))^2, k=0..n); a(n) = S2(n,2). |
|
+0
1
|
|
| 0, 4, 73, 788, 6630, 48120, 316526, 1940568, 11284380, 62968560, 339954670, 1786320184, 9176663028, 46248446608, 229285525420, 1120646918000, 5409322603896, 25824570392544, 122086747617198, 572130452101240, 2660063893120900, 12279619924999504, 56318986959592676
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
REFERENCES
|
Jun Wang and Zhizheng Zhang, On extensions of Calkin's binomial identities, Discrete Math., 274 (2004), 331-342.
|
|
FORMULA
|
There is an explicit formula for the sum - see Wang and Zhang.
|
|
CROSSREFS
|
Sequence in context: A087315 A081460 A055556 this_sequence A092871 A090212 A137046
Adjacent sequences: A089662 A089663 A089664 this_sequence A089666 A089667 A089668
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Jan 04 2004
|
|
|
Search completed in 0.002 seconds
|
