A058358 Coefficients in the series (1 + x + 4x^4 + 6x^6 + 8x^8 + 9x^9 + 10x^10 + 12x^12 + 14x^14 + ... )/(1 - 2x^2 - 3x^3 - 5x^5 - 7x^7 - 11x^11 - 13x^13 - ... ).

1, 1, 2, 5, 11, 21, 48, 92, 199, 406, 824, 1737, 3496, 7312, 14959, 30787, 63693, 130387, 269786, 553986, 1141638, 2352405, 4837537, 9974721, 20519951, 42273108, 87046496, 179198379, 369124998, 759870636, 1564982079, 3222379032

Offset

0,3

Links

Table of n, a(n) for n=0..31.

Mathematica

CoefficientList[ Series[ (1 + x + Apply[ Plus, Select[ Range[ 2, 50 ], !PrimeQ[ # ] & ]*x^Select[ Range[ 2, 50 ], !PrimeQ[ # ] & ] ] ) / (1 - Apply[ Plus, Select[ Range[ 2, 50 ], PrimeQ[ # ] & ]*x^Select[ Range[ 2, 50 ], PrimeQ[ # ] & ] ] ), {x, 0, 50} ], x ]

Crossrefs

Sequence in context: A369525 A364591 A049936 * A292528 A135119 A290778

Adjacent sequences: A058355 A058356 A058357 * A058359 A058360 A058361

Keyword

nonn

Author

Robert G. Wilson v, Dec 16 2000

Status

approved