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 A097336 Sum k=0..n, C(n-k, floor(k/2))4^k. 1
 1, 5, 5, 21, 101, 181, 517, 2133, 5029, 13301, 47429, 127893, 340709, 1099573, 3145861, 8597205, 26190373, 76524149, 214079429, 633125397, 1857511781, 5282782645, 15412788997, 45132977493, 129657499813, 376262123765 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The sequence sum{k=0..n, C(n-k,floor(k/2))r^k} has g.f. (1+rx)/(1-x-r^2x^3). LINKS Index entries for linear recurrences with constant coefficients, signature (1,0,16) FORMULA G.f. : (1+4x)/(1-x-16x^3); a(n)=a(n-1)+16a(n-3). MATHEMATICA LinearRecurrence[{1, 0, 16}, {1, 5, 5}, 30] (* Harvey P. Dale, Sep 15 2011 *) CROSSREFS Cf. A097333, A097334, A097335. Sequence in context: A243121 A007028 A318960 * A014619 A205140 A097016 Adjacent sequences:  A097333 A097334 A097335 * A097337 A097338 A097339 KEYWORD easy,nonn AUTHOR Paul Barry, Aug 05 2004 STATUS approved

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Last modified November 27 20:49 EST 2021. Contains 349395 sequences. (Running on oeis4.)