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Search: id:A116082
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A116082 C(n,7) + C(n,6) + C(n,5) + C(n,4) + C(n,3) + C(n,2) + C(n,1). +0
2
0, 1, 3, 7, 15, 31, 63, 127, 254, 501, 967, 1815, 3301, 5811, 9907, 16383, 26332, 41225, 63003, 94183, 137979, 198439, 280599, 390655, 536154, 726205, 971711, 1285623, 1683217, 2182395, 2804011, 3572223, 4514872, 5663889, 7055731, 8731847 (list; graph; listen)
OFFSET

0,3

FORMULA

a(n)=n(n^6-14n^5+112n^4-350n^3+1099n^2+364n+3828)/5040. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 14 2006

MAPLE

a:=n->n*(n^6-14*n^5+112*n^4-350*n^3+1099*n^2+364*n+3828)/5040: seq(a(n), n=0..35); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 14 2006

seq(sum(binomial(n, k), k=1..7), n=0..35); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 14 2007

CROSSREFS

a(n) = A000580(n) + A000579(n) + A000389(n) + A000332(n) + A000292(n) + A000217(n) + n. a(n) = A000580(n) + A115567(n).

Sequence in context: A043734 A115567 A043740 this_sequence A043747 A105754 A116690

Adjacent sequences: A116079 A116080 A116081 this_sequence A116083 A116084 A116085

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post (jvospost2(AT)yahoo.com), Mar 13 2006

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Last modified September 6 09:40 EDT 2008. Contains 143480 sequences.


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