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A101552 C(n-3,3)+C(n-7,7)+...+C(n-(4*floor((n-4)/4)+3),4*floor((n-4)/4)+3). 2
0, 0, 0, 0, 0, 0, 1, 4, 10, 20, 35, 56, 84, 120, 166, 228, 322, 484, 785, 1352, 2396, 4248, 7405, 12592, 20856, 33728, 53524, 83912, 130956, 204968, 323665, 517356, 837206, 1368108, 2248479, 3700648, 6077900, 9938488, 16164330, 26154700, 42146078 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,8

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1,0,0,0,1).

FORMULA

G.f.: x^6/((1-x)^4-x^8).

a(n) = sum{k=0..n, if(mod(k+1, 4)=0, C(n-k, k), 0)}.

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) + a(n-8). - G. C. Greubel, May 17 2016

MATHEMATICA

CoefficientList[Series[x^6/((1 - x)^4 - x^8) , {x, 0, 50}], x] (* G. C. Greubel, May 17 2016 *)

CROSSREFS

Cf. A024490, A101551.

Sequence in context: A090579 A276643 A000292 * A038419 A057319 A034223

Adjacent sequences:  A101549 A101550 A101551 * A101553 A101554 A101555

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Dec 06 2004

STATUS

approved

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Last modified August 22 12:39 EDT 2017. Contains 290946 sequences.