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Search: id:A085439
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| A085439 |
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a(n) = Sum_{i=1..n} C(i+1,2)^4. |
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+0
23
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| 1, 82, 1378, 11378, 62003, 256484, 871140, 2550756, 6651381, 15802006, 34776742, 71791798, 140366759, 261917384, 469277384
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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A. F. Labossiere, New Artefact From Pascal's Triangle.
A. F. Labossiere, Miscellaneous.
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FORMULA
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i=1_Sum_n [i+1_C_2]^4 = [ 2520*(n^9) +22680*(n^8) +79920*(n^7) +136080*(n^6) +107352*(n^5) +22680*(n^4) -10080*(n^3) +1728*n ]/9!
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EXAMPLE
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i=1_Sum_15 [i+1_C_2]^4 = [2520*(15^9)+22680*(15^8)+79920*(15^7)
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CROSSREFS
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Cf. A000292, A087127, A024166, A024166, A085438, A085440, A085441, A085442, A000332, A086020, A086021, A086022, A000389, A086023, A086024, A000579, A086025, A086026, A000580, A086027, A086028, A027555, A086029, A086030.
Sequence in context: A128959 A083386 A093282 this_sequence A017798 A035736 A017745
Adjacent sequences: A085436 A085437 A085438 this_sequence A085440 A085441 A085442
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KEYWORD
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easy,nonn
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AUTHOR
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Andre F. Labossiere (boronali(AT)laposte.net), Jul 03 2003
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