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Search: id:A081044
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A081044 9th binomial transform of (1,8,0,0,0,0,0,0,.....). +0
3
1, 17, 225, 2673, 29889, 321489, 3365793, 34543665, 349156737, 3486784401, 34480423521, 338218086897, 3295011258945, 31914537622353, 307565765227809, 2951106226689969, 28207085096966913, 268687927383516945 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)=18*a(n-1)-81*a(n-2), a(0)=0, a(1)=17. a(n)=(8n+9)9^(n-1) a(n)= Sum {k=0..n, (k+1)*8^k Binomial(n, k)}. G.f. (1-x)/(1-9x)^2

CROSSREFS

Cf. A081043, A081045.

Sequence in context: A016174 A016281 A160398 this_sequence A016227 A155001 A012095

Adjacent sequences: A081041 A081042 A081043 this_sequence A081045 A081046 A081047

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Mar 04 2003

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Last modified March 20 09:10 EDT 2010. Contains 173642 sequences.


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