A319700 a(n) = A051953(A252463(n)).

0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 1, 1, 4, 4, 1, 3, 1, 6, 6, 1, 1, 8, 3, 1, 4, 8, 1, 7, 1, 8, 8, 1, 7, 12, 1, 1, 12, 12, 1, 9, 1, 12, 8, 1, 1, 16, 5, 5, 14, 14, 1, 9, 9, 16, 18, 1, 1, 22, 1, 1, 12, 16, 13, 13, 1, 18, 20, 11, 1, 24, 1, 1, 12, 20, 11, 15, 1, 24, 8, 1, 1, 30, 15, 1, 24, 24, 1, 21, 15, 24, 30, 1, 19, 32, 1, 7, 16, 30, 1, 19, 1, 28, 22

Offset

1,8

Links

Antti Karttunen, Table of n, a(n) for n = 1..16384

Formula

a(n) = A051953(A252463(n)).

Prog

(PARI)
A051953(n) = (n - eulerphi(n));
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)};
A252463(n) = if(!(n%2), n/2, A064989(n));
A319700(n) = A051953(A252463(n));

Crossrefs

Cf. A051953, A252463.

Cf. also A319699, A319703, A319989, A320107, A320111.

Sequence in context: A284343 A033151 A046079 * A279104 A165509 A100996

Adjacent sequences: A319697 A319698 A319699 * A319701 A319702 A319703

Keyword

nonn

Author

Antti Karttunen, Nov 22 2018

Status

approved