[seqfan] Re: Sum of a binary power and an odd prime power

N. J. A. Sloane njas at research.att.com
Fri Apr 16 13:26:16 CEST 2010


Charles said:
Would someone check sequences A115230, A115231, A115232, and A115230?

Me:  One suggestion is that A115230, which presently reads

%N A115230 Number of ways to write the n-th prime as a sum of a binary power and an odd prime power.

should really be

%N A115230 Number of ways to write the n-th prime as a sum of a power of 2 and an odd multiple of a (prime or a power of a prime).

That is, number of ways to write prime(n) as 2^i + j*p^k where 
i >= 0, k >= 1, j is odd and >= 1, and p is a prime.

Could you check if that is consistent with the entries?

Neil





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