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A001769
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Expansion of 1/((1+x)*(1-x)^7).
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5
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1, 6, 22, 62, 148, 314, 610, 1106, 1897, 3108, 4900, 7476, 11088, 16044, 22716, 31548, 43065, 57882, 76714, 100386, 129844, 166166, 210574, 264446, 329329, 406952, 499240, 608328, 736576, 886584, 1061208
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index to sequences with linear recurrences with constant coefficients, signature (6,-14,14,0,-14,14,-6,1).
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FORMULA
| a(n) = sum{k=0..n, (-1)^(n-k)*C(k+6, 6) }; a(n) = (4*n^6 +96*n^5 +910*n^4 +4320*n^3 +10696*n^2 +12864*n+5715)/5760+(-1)^n/128. - Paul Barry, Jul 01 2003
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PROG
| (MAGMA) [(4*n^6+96*n^5+910*n^4+4320*n^3+10696*n^2+12864*n+5715)/5760+(-1)^n/128: n in [0..40]]; // Vincenzo Librandi, Aug 15 2011
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CROSSREFS
| Cf. A002620, A002623, A001752, A001753.
Sequence in context: A105450 A011888 A081282 * A166020 A120477 A053739
Adjacent sequences: A001766 A001767 A001768 * A001770 A001771 A001772
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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