A101182 Least positive integer that can be represented as the sum of a prime and a triangular number in exactly n ways.

1, 2, 3, 8, 17, 83, 47, 89, 107, 212, 194, 347, 284, 674, 524, 464, 467, 947, 662, 1187, 1514, 1304, 1019, 1229, 1559, 2189, 1724, 2699, 2084, 3434, 2417, 4022, 3467, 3824, 3764, 3362, 5324, 5879, 5672, 7214, 5927, 6179, 6134, 7079, 6704, 7727, 10667

Offset

0,2

Links

Donovan Johnson, Table of n, a(n) for n = 0..1000

Formula

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

Example

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

Crossrefs

Cf. A000040, A000217, A076768.

Sequence in context: A099960 A324963 A218090 * A009207 A290878 A096254

Adjacent sequences: A101179 A101180 A101181 * A101183 A101184 A101185

Keyword

easy,nonn

Author

Jonathan Vos Post and Ray Chandler, Dec 14 2004

Status

approved