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A297843 a(n) = Sum_{d|n} max(d, n/d)^4. 4
1, 32, 162, 528, 1250, 2754, 4802, 8704, 13203, 21250, 29282, 44576, 57122, 81634, 102500, 139520, 167042, 225666, 260642, 341250, 393764, 497794, 559682, 715808, 781875, 971074, 1076004, 1310946, 1414562, 1743842, 1847042, 2236416, 2401124, 2839714, 3006052 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..10000

FORMULA

a(n) + A297794(n) = 2*A001159(n).

MATHEMATICA

f[n_] := Block[{d = Divisors@ n}, Plus @@ (Max[#, n/#]^4 & /@ d)]; Array[f, 35] (* Robert G. Wilson v, Jan 07 2018 *)

PROG

(PARI) {a(n) = sumdiv(n, d, max(d, n/d)^4)}

CROSSREFS

Sum_{d|n} max(d, n/d)^k: A117003 (k=1), A297841 (k=2), A297842 (k=3), this sequence (k=4), A297844 (k=5).

Cf. A001159, A297794.

Sequence in context: A299680 A300312 A197367 * A172191 A304381 A281467

Adjacent sequences:  A297840 A297841 A297842 * A297844 A297845 A297846

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Jan 07 2018

STATUS

approved

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Last modified June 13 07:45 EDT 2021. Contains 344981 sequences. (Running on oeis4.)