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A016177 8^n - 7^n. +0
6
0, 1, 15, 169, 1695, 15961, 144495, 1273609, 11012415, 93864121, 791266575, 6612607849, 54878189535, 452866803481, 3719823438255, 30436810578889, 248242046141055, 2019169299698041, 16385984911571535, 132716292890482729 (list; graph; listen)
OFFSET

0,3

COMMENT

These are the numerators of a(n)=(integral_{x=0 to.25}(1-.5*x)^n dx). E.g. a(3)=1695/8192. The denominators are b(3)=4*(n+1)*8^n. b(n)=8192. the subscript in both cases is 0. - Al Hakanson (hawkuu(AT)excite.com), Feb 22 2004

FORMULA

G.f.: x/((1-7x)(1-8x)).

a(n)=15*a(n-1)-56*a(n-2), n>1 ; a(0)=0, a(1)=1 . [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jan 01 2009]

E.g.f.: e^(8*x)-e^(7*x). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 14 2009]

CROSSREFS

Sequence in context: A121114 A121116 A138973 this_sequence A125427 A016279 A036734

Adjacent sequences: A016174 A016175 A016176 this_sequence A016178 A016179 A016180

KEYWORD

nonn

AUTHOR

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

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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