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A058355
Coefficients in the series (1 + x^2 + x^3 + x^5 + x^7 + x^11 + x^13 + ... )/(1 - x - x^4 - x^6 - x^8 - x^9 - x^10 - x^12 - x^14 - ... ).
0
1, 1, 2, 3, 4, 6, 9, 14, 21, 32, 49, 76, 116, 177, 269, 411, 628, 961, 1467, 2241, 3422, 5229, 7987, 12202, 18636, 28469, 43488, 66436, 101483, 155024, 236804, 361740, 552581, 844113, 1289433, 1969707, 3008862, 4596267, 7021116, 10725264
OFFSET
0,3
MATHEMATICA
CoefficientList[ Series[ (1 + Apply[ Plus, x^Select[ Range[ 2, 50 ], PrimeQ[ # ] & ] ] )/(1 - Apply[ Plus, x^Select[ Range[ 1, 50 ], !PrimeQ[ # ] & ] ] ), {x, 0, 50} ], x ]
CROSSREFS
Sequence in context: A328262 A292800 A214041 * A179041 A099558 A018140
KEYWORD
nonn
AUTHOR
Robert G. Wilson v, Dec 16 2000
EXTENSIONS
Name corrected by Sean A. Irvine, Aug 04 2022
STATUS
approved