A351247 - OEIS

A351247

a(n) = n^7 * Sum_{p|n, p prime} 1/p^7.

0, 1, 1, 128, 1, 2315, 1, 16384, 2187, 78253, 1, 296320, 1, 823671, 80312, 2097152, 1, 5062905, 1, 10016384, 825730, 19487299, 1, 37928960, 78125, 62748645, 4782969, 105429888, 1, 181139311, 1, 268435456, 19489358, 410338801, 901668, 648051840, 1, 893871867, 62750704

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OFFSET

1,4

LINKS

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

FORMULA

a(A000040(n)) = 1.

EXAMPLE

a(6) = 2315; a(6) = 6^7 * Sum_{p|6, p prime} 1/p^7 = 279936 * (1/2^7 + 1/3^7) = 2315.

CROSSREFS

Sequences of the form n^k * Sum_{p|n, p prime} 1/p^k for k = 0..10: A001221 (k=0), A069359 (k=1), A322078 (k=2), A351242 (k=3), A351244 (k=4), A351245 (k=5), A351246 (k=6), this sequence (k=7), A351248 (k=8), A351249 (k=9), A351262 (k=10).

Cf. A000040.

Sequence in context: A368676 A035880 A010369 * A303324 A121374 A336774

Adjacent sequences: A351244 A351245 A351246 * A351248 A351249 A351250

KEYWORD

nonn

AUTHOR

Wesley Ivan Hurt, Feb 05 2022

STATUS

approved