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 A104311 Numbers n such that the coefficient of x^n in (x^3+x^2+x+1)^n is prime. 1
 2, 4, 5, 8, 73, 649 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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. LINKS Table of n, a(n) for n=1..6. MATHEMATICA 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}] CROSSREFS Cf. A005725 (quadrinomial coefficients). Sequence in context: A012973 A013154 A013129 * A200818 A021980 A303496 Adjacent sequences: A104308 A104309 A104310 * A104312 A104313 A104314 KEYWORD more,nonn AUTHOR T. D. Noe, Mar 01 2005 STATUS approved

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Last modified June 15 09:26 EDT 2024. Contains 373407 sequences. (Running on oeis4.)