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A090407
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Sum{k=0..n, C(4n+1,4k) }.
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3
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1, 6, 136, 2016, 32896, 523776, 8390656, 134209536, 2147516416, 34359607296, 549756338176, 8796090925056, 140737496743936, 2251799780130816, 36028797153181696, 576460751766552576, 9223372039002259456
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Harvey P. Dale, Table of n, a(n) for n = 0..800
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FORMULA
| a(0)=1, a(1)=6, a(n)=12*a(n-1)+64*a(n-2) [From Harvey P. Dale, Jan 19 2012]
G.f.: (6*x-1)/(64*x^2+12*x-1) [From Harvey P. Dale, Jan 19 2012]
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MATHEMATICA
| Table[Sum[Binomial[4n+1, 4k], {k, 0, n}], {n, 0, 30}] (* or *) LinearRecurrence[ {12, 64}, {1, 6}, 30] (* From Harvey P. Dale, Jan 19 2012 *)
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CROSSREFS
| Cf. A070775, A001025, A090408, A038503.
Sequence in context: A196703 A196852 A196946 * A075185 A003994 A155558
Adjacent sequences: A090404 A090405 A090406 * A090408 A090409 A090410
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Nov 29 2003
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