A104314 Prime coefficient of x^(2*k) in (x^4 + x^3 + x^2 + x + 1)^k for k in A104313.

5, 19, 1974442362935339179, 47705925773278538281, 234692178470218983001

Offset

1,1

Comments

a(6) > A005191(195315), if it exists. See A104313 for more information. - Jinyuan Wang, Jul 26 2021

Links

Table of n, a(n) for n=1..5.

Mathematica

f=1; Do[f=Expand[f*(x^4+x^3+x^2+x+1)]; s=Coefficient[f, x, 2n]; If[PrimeQ[s], Print[{n, s}]], {n, 100}]

Crossrefs

Cf. A005191 (pentanomial coefficients), A104312 (nontrivial prime quadrinomial coefficients), A104313.

Sequence in context: A013531 A357517 A122152 * A302662 A261545 A093482

Adjacent sequences: A104311 A104312 A104313 * A104315 A104316 A104317

Keyword

nonn

Author

T. D. Noe, Mar 01 2005

Status

approved