A121527 a(0)=1. a(n) = n-th integer from among those positive integers which are coprime to the sum of the previous terms of this sequence.

1, 1, 3, 3, 7, 8, 6, 7, 23, 9, 21, 11, 29, 19, 27, 22, 16, 25, 43, 19, 73, 21, 43, 25, 89, 26, 26, 40, 28, 31, 97, 32, 47, 65, 35, 103, 37, 81, 41, 101, 59, 117, 44, 50, 65, 89, 57, 93, 59, 173, 52, 76, 82, 53, 133, 55, 167, 83, 117, 73, 143, 61, 123, 78, 70, 97, 173, 110, 72

Offset

0,3

Links

Table of n, a(n) for n=0..68.

Example

36 = the sum of the terms a(0) to a(7), 36 = 1+1+3+3+7+8+6+7. 1,5,7,11,13,17,19,23,25... are the positive integers which are coprime to 36. 23 is the 8th of these integers, so a(8) = 23.

Prog

(PARI) {m=68; print1(1, ", "); s=1; for(n=1, m, k=n; c=0; while(k>0, c++; if(gcd(s, c)==1, k--)); print1(c, ", "); s=s+c)} - (Klaus Brockhaus, Aug 15 2006)

Crossrefs

Cf. A121528.

Sequence in context: A147103 A003133 A021300 * A021886 A178238 A255333

Adjacent sequences: A121524 A121525 A121526 * A121528 A121529 A121530

Keyword

nonn

Author

Leroy Quet, Aug 05 2006

Extensions

More terms from Klaus Brockhaus, Aug 15 2006

Status

approved