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Search: id:A104311
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| A104311 |
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Numbers n such that the coefficient of x^n in (x^3+x^2+x+1)^n is prime. |
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+0
2
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OFFSET
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1,1
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COMMENT
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n such that A005725(n) is prime. No other n<16000. The primes are in A104312. Only coefficients of the x, x^n, x^(2n) and x^(3n-1) terms can be prime; the coefficients of x and x^(3n-1) terms are prime whenever n is prime.
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MATHEMATICA
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f=1; Do[f=Expand[f*(x^3+x^2+x+1)]; s=Coefficient[f, x, n]; If[PrimeQ[s], Print[{n, s}]], {n, 1000}]
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CROSSREFS
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Cf. A005725 (quadrinomial coefficients).
Sequence in context: A012973 A013154 A013129 this_sequence A021980 A011175 A109534
Adjacent sequences: A104308 A104309 A104310 this_sequence A104312 A104313 A104314
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KEYWORD
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more,nonn
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), Mar 01 2005
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