A048511 a(n) = T(6,n), array T given by A048505.

1, 50, 163, 421, 1005, 2317, 5245, 11741, 26077, 57565, 126429, 276445, 602077, 1306589, 2826205, 6094813, 13107165, 28114909, 60162013, 128450525, 273678301, 581959645, 1235222493, 2617245661, 5536481245, 11693719517

Offset

0,2

Comments

n-th difference of a(n), a(n-1), ..., a(0) is (49, 64, 81, 100, ...).

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..2000

Index entries for linear recurrences with constant coefficients, signature (7,-18,20,-8).

Formula

a(n) = (n+9)*(n+16) * 2^(n-2) - 35. - Ralf Stephan, Feb 05 2004

a(n) = 7*a(n-1)-18*a(n-2)+20*a(n-3)-8*a(n-4). - Colin Barker, Feb 25 2015

G.f.: (160*x^3-169*x^2+43*x+1) / ((x-1)*(2*x-1)^3). - Colin Barker, Feb 25 2015

Prog

(Magma) [(n+9)*(n+16) * 2^(n-2) - 35: n in [0..30]]; // Vincenzo Librandi, Sep 26 2011
(PARI) Vec((160*x^3-169*x^2+43*x+1) / ((x-1)*(2*x-1)^3) + O(x^100)) \\ Colin Barker, Feb 25 2015

Crossrefs

Sequence in context: A165676 A160783 A085445 * A206128 A333101 A206121

Adjacent sequences: A048508 A048509 A048510 * A048512 A048513 A048514

Keyword

nonn,easy

Author

Clark Kimberling

Status

approved