|
Search: id:A016177
|
|
| |
|
| 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).
|
|
|
Search completed in 0.002 seconds
|
