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%I #9 Feb 06 2022 02:15:42
%S 0,1,1,64,1,793,1,4096,729,15689,1,50752,1,117713,16354,262144,1,
%T 578097,1,1004096,118378,1771625,1,3248128,15625,4826873,531441,
%U 7533632,1,12437281,1,16777216,1772290,24137633,133274,36998208,1,47045945,4827538,64262144,1,93342313
%N a(n) = n^6 * Sum_{p|n, p prime} 1/p^6.
%H Seiichi Manyama, <a href="/A351246/b351246.txt">Table of n, a(n) for n = 1..10000</a>
%F a(A000040(n)) = 1.
%e a(6) = 793; a(6) = 6^6 * Sum_{p|6, p prime} 1/p^6 = 46656 * (1/2^6 + 1/3^6) = 793.
%Y 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), this sequence (k=6), A351247 (k=7), A351248 (k=8), A351249 (k=9), A351262 (k=10).
%Y Cf. A000040.
%K nonn
%O 1,4
%A _Wesley Ivan Hurt_, Feb 05 2022