A339896 - OEIS

A339896

a(n) = A056239(n) - A339894(n).

0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 3, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 3, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 3, 0, 2, 2, 3, 0, 2, 0, 2, 2

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OFFSET

1,16

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..65537

Index entries for sequences computed from indices in prime factorization

FORMULA

a(n) = A056239(n) - A339894(n).

a(n) = A334201(n) - A339895(n).

a(n) = A339823(A122111(n)).

PROG

(PARI)

A000523(n) = if( n<1, 0, #binary(n) - 1); \\ From A000523

A122111(n) = if(1==n, n, my(f=factor(n), es=Vecrev(f[, 2]), is=concat(apply(primepi, Vecrev(f[, 1])), [0]), pri=0, m=1); for(i=1, #es, pri += es[i]; m *= prime(pri)^(is[i]-is[1+i])); (m));

A056239(n) = { my(f); if(1==n, 0, f=factor(n); sum(i=1, #f~, f[i, 2] * primepi(f[i, 1]))); }

A339896(n) = (A056239(n)-A000523(A122111(n)));

CROSSREFS

Cf. A000523, A056239, A122111, A334201, A339823, A339894, A339895.

Sequence in context: A277142 A240592 A001877 * A112712 A026608 A264049

Adjacent sequences: A339893 A339894 A339895 * A339897 A339898 A339899

KEYWORD

nonn

AUTHOR

Antti Karttunen, Dec 21 2020

STATUS

approved