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Search: id:A086024
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| A086024 |
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a(n) = Sum_(i=1..n) C(i+3,4)^3. |
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+0
23
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| 1, 126, 3501, 46376, 389376, 2389752, 11650752, 47587752, 168875127, 534401002, 1537404003, 4080706128, 10109274128, 23590546128, 52243162128
(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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Sum_(i=1..n) C(i+3, 4)^3 = [ C(n+4, 5)/1001 ]*[ 1001 +20020*C(n-1, 1) +125840*C(n-1, 2) +390390*C(n-1, 3) +695695*C(n-1, 4) +750750*C(n-1, 5) +486850*C(n-1, 6) +175175*C(n-1, 7) +26950*C(n-1, 8) ]
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CROSSREFS
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Cf. A087127, A024166, A085438, A085439, A085440, A085441, A085442, A086020, A086021, A086022, A086023, A086025, A086026, A086027, A086028, A086029, A086030.
Sequence in context: A133499 A113857 A008397 this_sequence A036403 A140902 A037963
Adjacent sequences: A086021 A086022 A086023 this_sequence A086025 A086026 A086027
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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 11 2003
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