A367551 - OEIS

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A367551

a(n) = Sum_{d|n} (d^2+1)^n.

1

2, 29, 1008, 84162, 11881408, 2566742098, 781250000128, 318651789038947, 167619551409708544, 110462353708225871026, 89116503268220597579776, 86380568889558343409300388, 99045780329059370000000008192

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..13.

FORMULA

a(n) = Sum_{k=0..n} binomial(n,k) * sigma_{2*k}(n).

PROG

(PARI) a(n) = sumdiv(n, d, (d^2+1)^n);

CROSSREFS

Cf. A163190, A308570, A367552.

Sequence in context: A090251 A087281 A024234 * A077282 A059725 A112784

Adjacent sequences: A367548 A367549 A367550 * A367552 A367553 A367554

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Nov 22 2023

STATUS

approved