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A016201 Expansion of 1/((1-x)(1-2x)(1-7x)). 0
1, 10, 77, 554, 3909, 27426, 192109, 1345018, 9415637, 65910482, 461375421, 3229632042, 22607432485, 158252043778, 1107764339213, 7754350440026, 54280453211253, 379963172740914, 2659742209710685 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

Index to sequences with linear recurrences with constant coefficients, signature (10,-23,14).

FORMULA

a(n) = (49*7^n-24*2^n+5)/30.  - Bruno Berselli, Feb 09 2011

a(0)=1, a(n)=7*a(n-1)+2^(n+1)-1.  - Vincenzo Librandi, Feb 09 2011

MAPLE

a:=n->sum((7^(n-j)-2^(n-j))/5, j=0..n): seq(a(n), n=1..19); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 15 2007

CROSSREFS

Sequence in context: A081678 A081182 A127536 * A080618 A082136 A153596

Adjacent sequences:  A016198 A016199 A016200 * A016202 A016203 A016204

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 16 20:09 EST 2012. Contains 205958 sequences.