A324103 a(1) = 0; for n > 1, a(n) = A083254(A156552(n)).

0, 1, 0, 1, 0, 3, 0, 5, -2, 3, 0, 9, 0, 15, -2, 1, 0, 11, 0, 17, -6, 7, 0, 21, -4, 31, -2, 13, 0, 3, 0, 29, -2, 39, -4, 9, 0, 255, -26, 9, 0, 35, 0, 65, -2, 135, 0, 45, -8, 15, -34, 129, 0, 27, -12, 69, -90, 575, 0, 41, 0, 679, -2, 9, -4, 19, 0, 173, -2, 39, 0, 25, 0, 3583, -2, 301, -8, 83, 0, 77, -14, 2727, 0, 5, -52, 8703, -378, 9, 0, 3

Offset

1,6

Links

Antti Karttunen, Table of n, a(n) for n = 1..4473

Formula

a(1) = 0; for n > 1, a(n) = A083254(A156552(n)).

a(n) = 2*A324104(n) - A156552(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)};
A156552(n) = if(1==n, 0, if(!(n%2), 1+(2*A156552(n/2)), 2*A156552(A064989(n))));
A083254(n) = (2*eulerphi(n)-n);
A324103(n) = if(1==n, 0, A083254(A156552(n)));

Crossrefs

Cf. A000010, A083254, A156552, A323244, A324104, A324105.

Cf. also A324052, A324182.

Sequence in context: A185782 A304027 A187886 * A130054 A236146 A196111

Adjacent sequences: A324100 A324101 A324102 * A324104 A324105 A324106

Keyword

sign

Author

Antti Karttunen, Feb 18 2019

Status

approved