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Search: id:A086021
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A086021 a(n) = Sum_(i=1..n) C(i+2,3)^3. +0
23
1, 65, 1065, 9065, 51940, 227556, 820260, 2548260, 7040385, 17688385, 41082041, 89310585, 183506960, 359122960, 673554960 (list; graph; listen)
OFFSET

1,2

LINKS

A. F. Labossiere New Artefact From Pascal's Triangle.

A. F. Labossiere Miscellaneous.

FORMULA

Sum_(i=1..n) C(i+2, 3)^3 = [ C(n+3, 4)/1 ]*[ 1 +12*C(n-1, 1) +46*C(n-1, 2) +84*C(n-1, 3) +81*C(n-1, 4) +40*C(n-1, 5) +8*C(n-1, 6) ]

CROSSREFS

Cf. A086020, A086022, A086023, A086024, A086025, A086026, A086027, A086028, A086029, A086030, A087127, A024166, A085438, A085439, A085440, A085441, A085442.

Sequence in context: A000540 A023875 A027463 this_sequence A069424 A086029 A002502

Adjacent sequences: A086018 A086019 A086020 this_sequence A086022 A086023 A086024

KEYWORD

easy,nonn

AUTHOR

Andre F. Labossiere (boronali(AT)laposte.net), Jul 11 2003

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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