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A325033 Sum of sums of the multisets of prime indices of each prime index of n. 13
0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 3, 1, 3, 2, 3, 0, 4, 2, 3, 2, 3, 3, 4, 1, 4, 3, 3, 2, 4, 3, 5, 0, 4, 4, 4, 2, 4, 3, 4, 2, 6, 3, 5, 3, 4, 4, 5, 1, 4, 4, 5, 3, 4, 3, 5, 2, 4, 4, 7, 3, 5, 5, 4, 0, 5, 4, 8, 4, 5, 4, 5, 2, 6, 4, 5, 3, 5, 4, 6, 2, 4, 6, 9, 3, 6, 5, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

A prime index of n is a number m such that prime(m) divides n. The multiset of prime indices of n is row n of A112798.

LINKS

Table of n, a(n) for n=1..87.

FORMULA

Totally additive with a(prime(n)) = A056239(n).

EXAMPLE

91 has prime indices {4,6} with prime indices {{1,1},{1,2}} with sum a(91) = 5.

MATHEMATICA

primeMS[n_]:=If[n==1, {}, Flatten[Cases[FactorInteger[n], {p_, k_}:>Table[PrimePi[p], {k}]]]];

Table[Plus@@Join@@primeMS/@primeMS[n], {n, 100}]

CROSSREFS

Cf. A000720, A056239, A109082, A112798, A302242.

Cf. A324926, A325032, A325034, A325035.

Sequence in context: A240883 A048272 A112329 * A117448 A093321 A302015

Adjacent sequences:  A325030 A325031 A325032 * A325034 A325035 A325036

KEYWORD

nonn

AUTHOR

Gus Wiseman, Mar 25 2019

STATUS

approved

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Last modified June 15 16:13 EDT 2019. Contains 324142 sequences. (Running on oeis4.)