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

Author

Clark Kimberling

Keywords

• nonn
• easy

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).

Programs

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

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