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A323174 Deficiency computed for conjugated prime factorization: a(n) = A033879(A122111(n)). 14
1, 1, 1, 2, 1, 0, 1, 4, 5, -4, 1, 2, 1, -12, -3, 6, 1, 6, 1, -2, -19, -28, 1, 4, 14, -60, 19, -10, 1, -12, 1, 10, -51, -124, -12, 10, 1, -252, -115, 0, 1, -48, 1, -26, 7, -508, 1, 8, 41, 12, -243, -58, 1, 22, -64, -8, -499, -1020, 1, -12, 1, -2044, -17, 12, -168, -120, 1, -122, -1011, -54, 1, 18, 1, -4092, 26, -250, -39, -264, 1, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Zeros occur at A122111(A000396(k)), k >= 1: 6, 40, 11264, 18253611008, ...

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..12000

Index entries for sequences computed from indices in prime factorization

Index entries for sequences related to sigma(n)

FORMULA

a(n) = A033879(A122111(n)).

a(n) = 2*A122111(n) - A323173(n).

PROG

(PARI)

A064989(n) = {my(f); f = factor(n); if((n>1 && f[1, 1]==2), f[1, 2] = 0); for (i=1, #f~, f[i, 1] = precprime(f[i, 1]-1)); factorback(f)};

A122111(n) = if(1==n, n, prime(bigomega(n))*A122111(A064989(n)));

A323174(n) = { my(k=A122111(n)); ((2*k)-sigma(k)); }

CROSSREFS

Cf. A033879, A122111, A323167, A323168.

Cf. also A323244.

Sequence in context: A102728 A262495 A336703 * A295683 A165519 A266972

Adjacent sequences:  A323171 A323172 A323173 * A323175 A323176 A323177

KEYWORD

sign

AUTHOR

Antti Karttunen, Jan 10 2019

STATUS

approved

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Last modified August 10 19:52 EDT 2020. Contains 336381 sequences. (Running on oeis4.)