A113398 How many times did the value of k appear at the previous primes including the n-th one? (Prime(n+1))^2-(Prime(n))^2 = a+k*(Prime(n+1)) if a is element of {0,1,...,Prime(n+1)-1}.

1, 1, 2, 1, 3, 1, 4, 2, 1, 5, 1, 3, 6, 4, 2, 3, 7, 4, 5, 8, 5, 6, 6, 1, 7, 9, 8, 10, 9, 1, 10, 7, 11, 1, 12, 8, 9, 11, 10, 11, 13, 2, 14, 12, 15, 1, 2, 13, 16, 14, 12, 17, 3

Offset

1,3

Links

Table of n, a(n) for n=1..53.

Example

3^2-2^2 = 2+1*3 (first "1"); 5^2-3^2 = 1+3*5 (first "3"); 7^2-5^2 = 3+3*7 (2nd "3");
11^2-7^2 = 6+6*11 (first "6"); 13^2-11^2 = 9+3*13 (3rd "3"); etc.

Crossrefs

Cf. A113396, A113397.

Sequence in context: A088242 A228814 A299483 * A210959 A319848 A364749

Adjacent sequences: A113395 A113396 A113397 * A113399 A113400 A113401

Keyword

nonn

Author

Marian Kraus, Oct 26 2005

Status

approved