A367507 - OEIS

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A367507

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

3, 25, 152, 1633, 17050, 282594, 4785156, 101751713, 2359920499, 62200947098, 1792160571184, 56765070083650, 1946195069953698, 72080471103601322, 2862427829603252768, 121449533922042173249, 5480386857784931326102, 262149577935595805876315

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..18.

FORMULA

a(n) = Sum_{k=0..n} 2^(n-k) * binomial(n,k) * sigma_k(n).

PROG

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

CROSSREFS

Cf. A163190, A163191, A367506, A367509.

Sequence in context: A144646 A308417 A277520 * A303602 A000544 A356200

Adjacent sequences: A367504 A367505 A367506 * A367508 A367509 A367510

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Nov 21 2023

STATUS

approved