A273324 Integers n such that n^2 + 3 is the sum of 4 but no fewer nonzero squares.

2, 5, 6, 10, 11, 14, 18, 21, 22, 26, 27, 30, 34, 37, 38, 42, 43, 46, 50, 53, 54, 58, 59, 62, 66, 69, 70, 74, 75, 78, 82, 85, 86, 90, 91, 94, 98, 101, 102, 106, 107, 110, 114, 117, 118, 122, 123, 126, 130, 133, 134, 138, 139, 142, 146, 149, 150, 154, 155, 158, 162, 165, 166, 170

Offset

1,1

Comments

If n^2 + k is a term of A004215, then the minimum positive value of k is 3, obviously.

See also the first differences (A278536) of this sequence.

Links

Antti Karttunen, Table of n, a(n) for n = 1..10001

Formula

a(n) = A000196(1+A278491(n)). - Antti Karttunen, Nov 26 2016

Example

2 is in the sequence because 2^2 + 3 = 7 is a term of A004215.

Prog

(PARI) isA004215(n) = {n\4^valuation(n, 4)%8==7}
lista(nn) = for(n=1, nn, if(isA004215(n^2+3), print1(n, ", ")));

Crossrefs

Cf. A000196, A004215, A117950, A278491, A278536.

Sequence in context: A187904 A179543 A077471 * A238096 A064572 A032399

Adjacent sequences: A273321 A273322 A273323 * A273325 A273326 A273327

Keyword

nonn,easy

Author

Altug Alkan, May 20 2016

Status

approved