A030539 (2^n+1)*(2^n+2)*(2^n+4)*(2^n+6)*(4^n+15*2^n+176)/8!.

1, 3, 15, 135, 2244, 63954, 2649790, 135954390, 7791419142, 471957819750, 29387888461350, 1855241125539750, 117925810919637670, 7521488030252902566, 480553086854453064870, 30729125540385201818790, 1965823916539674220608678

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (127, -5334, 94488, -755904, 2731008, -4161536, 2097152).

Formula

a(0)=1, a(1)=3, a(2)=15, a(3)=135, a(4)=2244, a(5)=63954, a(6)=2649790, a(n)=127*a(n-1)-5334*a(n-2)+94488*a(n-3)-755904*a(n-4)+ 2731008*a(n-5)- 4161536*a(n-6)+2097152*a(n-7). - Harvey P. Dale, Jun 17 2011

G.f.: (-1+x*(124-3*x*(1656+x*(-26752+x*(179183+40*x*(-11513+8736*x))))))/ ((-1+x)(-1+2*x)(-1+4*x)(-1+8*x)(-1+16*x)(-1+32*x)*(-1+64*x)). - Harvey P. Dale, Jun 17 2011

Mathematica

LinearRecurrence[{127, -5334, 94488, -755904, 2731008, -4161536, 2097152}, {1, 3, 15, 135, 2244, 63954, 2649790}, 20] (* or *) Table[(2^n+1)(2^n+2) (2^n+4) (2^n+6)(4^n+15 2^n+176)/8!, {n, 0, 20}] (* Harvey P. Dale, Jun 17 2011 *)

Crossrefs

Sequence in context: A059861 A348420 A232699 * A028362 A195764 A113723

Adjacent sequences: A030536 A030537 A030538 * A030540 A030541 A030542

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved