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Search: id:A116082
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| A116082 |
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C(n,7) + C(n,6) + C(n,5) + C(n,4) + C(n,3) + C(n,2) + C(n,1). |
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2
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| 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)
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OFFSET
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0,3
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REFERENCES
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Michael Boardman, The Egg-Drop Numbers, Mathematics Magazine, 77 (2004), 368-372. See Table 2 on page 370. [From Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Jun 18 2009]
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FORMULA
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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
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MAPLE
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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
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CROSSREFS
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a(n) = A000580(n) + A000579(n) + A000389(n) + A000332(n) + A000292(n) + A000217(n) + n. a(n) = A000580(n) + A115567(n).
A000217, A000225, A004006, A055795, A057703, A115567, A116082 [From Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Jun 18 2009]
Sequence in context: A147596 A115567 A043740 this_sequence A043747 A105754 A116690
Adjacent sequences: A116079 A116080 A116081 this_sequence A116083 A116084 A116085
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Mar 13 2006
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