A101182 - OEIS

%I #8 Aug 27 2012 11:47:02

%S 1,2,3,8,17,83,47,89,107,212,194,347,284,674,524,464,467,947,662,1187,

%T 1514,1304,1019,1229,1559,2189,1724,2699,2084,3434,2417,4022,3467,

%U 3824,3764,3362,5324,5879,5672,7214,5927,6179,6134,7079,6704,7727,10667

%N Least positive integer that can be represented as the sum of a prime and a triangular number in exactly n ways.

%H Donovan Johnson, <a href="/A101182/b101182.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) = min{i such that i = A000040(j) + A000217(k) in n ways}.

%e a(0) = 1 because 1 is the smallest positive integer that cannot be represented as sum of a prime and a triangular number (since 2 is the smallest prime).

%e a(1) = 2 = 2 + 0; a(2) = 3 = 3 + 0 = 2 + 1; a(3) = 8 = 2 + 6 = 5 + 3 = 7 + 1.

%Y Cf. A000040, A000217, A076768.

%K easy,nonn

%O 0,2

%A _Jonathan Vos Post_ and _Ray Chandler_, Dec 14 2004