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A099253 (7n+6)-th terms of expansion of 1/(1-x-x^7). 1
1, 8, 43, 211, 1030, 5055, 24851, 122166, 600470, 2951330, 14505951, 71297834, 350434385, 1722411860, 8465785506, 41609980404, 204516223418, 1005212819668, 4940697593195, 24283905085013, 119357243593561, 586649945651116 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

A row of A099239.

LINKS

Table of n, a(n) for n=0..21.

Index entries for linear recurrences with constant coefficients, signature (8,-21,35,-35,21,-7,1).

FORMULA

G.f.: 1/((1-x)^7-x); a(n)=8a(n-1)-21a(n-2)+35a(n-3)-35a(n-4)+21a(n-5)-7a(n-6)+a(n-7); a(n)=sum{k=0..n, binomial(7n-6(k-1), k)}; a(n)=sum{k=0..n, binomial(n+6(k+1), k+6(k+1)}; a(n)=sum{k=0..n, binomial(n+6(k+1), n-k)}.

CROSSREFS

Sequence in context: A171479 A227209 A282523 * A239033 A034361 A117617

Adjacent sequences:  A099250 A099251 A099252 * A099254 A099255 A099256

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Oct 08 2004

STATUS

approved

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Last modified December 13 14:58 EST 2017. Contains 295958 sequences.