A249998 Expansion of 1/((1+x)*(1+3*x)*(1-4*x)).

1, 0, 13, 12, 169, 312, 2341, 6084, 34177, 107184, 517309, 1803516, 8011225, 29653416, 125788117, 481629108, 1991086513, 7770635808, 31663673965, 124911303660, 504875391241, 2003811035160, 8062315730053, 32108048151972, 128855836912609, 514152414736272, 2060422457687581

Offset: 0

Author

Alex Ratushnyak, Dec 28 2014

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (0,13,12).

Crossrefs

Cf. A016208, A099621, A249997.

Formula

a(n) = (-1)^n*3^(n+2)/14 + 4^(n+2)/35 - (-1)^n/10. - R. J. Mathar, Jan 09 2015