A046916 a(n) = n*2^n + 2*n^2 + 1.

1, 5, 17, 43, 97, 211, 457, 995, 2177, 4771, 10441, 22771, 49441, 106835, 229769, 491971, 1049089, 2228803, 4719241, 9962195, 20972321, 44041075, 92275657, 192939043, 402654337, 838862051, 1744831817, 3623880115, 7516194337

Offset

0,2

Links

Table of n, a(n) for n=0..28.

Index entries for linear recurrences with constant coefficients, signature (7, -19, 25, -16, 4).

Formula

G.f.: (-1 - 10*x^4 + 6*x^3 - x^2 + 2*x)/((2*x-1)^2*(x-1)^3). - Maksym Voznyy (voznyy(AT)mail.ru), Aug 14 2009

a(n) = 7*a(n-1) - 19*a(n-2) + 25*a(n-3) - 16*a(n-4) + 4*a(n-5); a(0)=1, a(1)=5, a(2)=17, a(3)=43, a(4)=97. - Harvey P. Dale, Dec 06 2012

Mathematica

Table[n 2^n+2n^2+1, {n, 0, 30}] (* or *) LinearRecurrence[{7, -19, 25, -16, 4}, {1, 5, 17, 43, 97}, 30] (* Harvey P. Dale, Dec 06 2012 *)

Crossrefs

Sequence in context: A100705 A100662 A168617 * A089527 A146778 A146858

Adjacent sequences: A046913 A046914 A046915 * A046917 A046918 A046919

Keyword

nonn

Author

N. J. A. Sloane

Status

approved