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A098574 Sum C(n-5k,2k), k=0..floor(n/7). +0
2
1, 1, 1, 1, 1, 1, 1, 2, 4, 7, 11, 16, 22, 29, 38, 51, 71, 102, 149, 218, 316, 452, 639, 897, 1257, 1766, 2493, 3536, 5031, 7165, 10196, 14484, 20538, 29085, 41168, 58282, 82561, 117036, 165995, 235492, 334074, 473824, 671856, 952449, 1350078, 1913702 (list; graph; listen)
OFFSET

0,8

REFERENCES

R. Austin and R. K. Guy, Binary sequences without isolated ones, Fib. Quart., 16 (1978), 84-86.

FORMULA

G.f. (1-x)/(1-2x+x^2-x^7)

MAPLE

ZL:=[S, {a = Atom, b = Atom, S = Prod(X, Sequence(Prod(X, X, b))), X = Sequence(b, card >= 3)}, unlabelled]: seq(combstruct[count](ZL, size=n), n=3..48); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 26 2008

CROSSREFS

Cf. A005251, A005252, A005253, A005689.

Sequence in context: A025739 A000124 A152947 this_sequence A005689 A131075 A133523

Adjacent sequences: A098571 A098572 A098573 this_sequence A098575 A098576 A098577

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Sep 16 2004

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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