A225484 -id:A225484 - cp's OEIS frontend

A225490 Expansion of 1/(1 - x - x^2 + x^5 + x^6 - x^7).

1, 1, 2, 3, 5, 7, 10, 15, 21, 30, 42, 60, 84, 118, 166, 233, 327, 458, 643, 901, 1263, 1770, 2481, 3477, 4872, 6828, 9568, 13408, 18788, 26328, 36893, 51697, 72442, 101511, 142245, 199323, 279306, 391383, 548433

Offset: 0

Roger L. Bagula, May 08 2013

Limiting ratio is 1.401268367939855..., the largest real root of -1 + x + x^2 - x^5 - x^6 + x^7.

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (1, 1, 0, 0, -1, -1, 1).

Cf. A117791, A107293, A204631, A225391, A225482, A225484.

CoefficientList[Series[1/(1 - x - x^2 + x^5 + x^6 - x^7), {x, 0, 50}], x]

A225500 Expansion of 1/(1 - x - x^5 + x^6 - x^7 - x^11 + x^12).

Original entry on oeis.org

1, 1, 1, 1, 1, 2, 2, 3, 4, 5, 7, 9, 12, 15, 19, 25, 33, 43, 56, 73, 95, 124, 161, 210, 273, 355, 463, 603, 786, 1023, 1332, 1735, 2259, 2942, 3831, 4989, 6497, 8461, 11019, 14350, 18687, 24335, 31691, 41270, 53745

Offset: 0

Roger L. Bagula, May 09 2013

G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,1,-1,1,0,0,0,1,-1).

Cf. A117791, A107293, A204631, A225391, A225482, A225484, A225490, A225490.

CoefficientList[Series[1/(1 - x - x^5 + x^6 - x^7 - x^11 + x^12), {x, 0, 50}], x]
LinearRecurrence[{1,0,0,0,1,-1,1,0,0,0,1,-1},{1,1,1,1,1,2,2,3,4,5,7,9},100] (* G. C. Greubel, Nov 16 2016 *)

Vec(1/(1-x -x^5 +x^6 -x^7 -x^11 +x^12) + O(x^50)) \\ G. C. Greubel, Nov 16 2016

cp's OEIS Frontend

A225490 Expansion of 1/(1 - x - x^2 + x^5 + x^6 - x^7).

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