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Search: id:A016169
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A016169 7^n - 6^n. +0
2
0, 1, 13, 127, 1105, 9031, 70993, 543607, 4085185, 30275911, 222009073, 1614529687, 11664504865, 83828316391, 599858908753, 4277376525367, 30411820662145, 215703854542471, 1526853641242033, 10789535445362647 (list; graph; listen)
OFFSET

0,3

FORMULA

G.f.: x/((1-6x)(1-7x)).

E.g.f.: e^(7*x)-e^(6*x). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 14 2009]

MAPLE

a:=n->sum(6^(n-j)*binomial(n, j), j=1..n): seq(a(n), n=0..19); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 18 2009]

CROSSREFS

Cf. A016177, A016189.

Sequence in context: A016224 A142673 A139786 this_sequence A125401 A089763 A124298

Adjacent sequences: A016166 A016167 A016168 this_sequence A016170 A016171 A016172

KEYWORD

nonn

AUTHOR

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

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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