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A116690
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C(n,8) + 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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0
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0, 1, 3, 7, 15, 31, 63, 127, 255, 510, 1012, 1980, 3796, 7098, 12910, 22818, 39202, 65535, 106761, 169765, 263949, 401929, 600369, 880969, 1271625, 1807780, 2533986, 3505698, 4791322, 6474540, 8656936, 11460948, 15033172, 19548045
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).
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FORMULA
| a(n) = A000581(n) + A000580(n) + A000579(n) + A000389(n) + A000332(n) + A000292(n) + A000217(n) + n. a(n) = A000581(n) + A116082(n).
G.f. ( -x*(2*x^2-2*x+1)*(2*x^4-4*x^3+6*x^2-4*x+1) ) / (x-1)^9 . - R. J. Mathar, Oct 21 2011
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MAPLE
| seq(sum(binomial(n, k), k=1..8), n=0..33); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 14 2007
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PROG
| (Other) sage: [binomial(n, 2)+binomial(n, 4)+binomial(n, 6)+binomial(n, 8) for n in xrange(1, 35)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 17 2009]
(Other) sage: [binomial(n, 2)+binomial(n, 4)+binomial(n, 6)+binomial(n, 8)+binomial(n, 1)+binomial(n, 3)+binomial(n, 5)+binomial(n, 7)for n in xrange(0, 34)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 17 2009]
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CROSSREFS
| Sequence in context: A116082 A043747 A105754 * A043755 A105755 A043764
Adjacent sequences: A116687 A116688 A116689 * A116691 A116692 A116693
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KEYWORD
| easy,nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Mar 15 2006
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