A258264 -id:A258264 - cp's OEIS frontend

A258265 Numbers having more than one representation as a sum of the minimal number of triangular numbers, A000217.

16, 17, 19, 23, 26, 31, 32, 33, 35, 40, 41, 42, 44, 46, 47, 51, 52, 54, 56, 59, 62, 63, 68, 71, 72, 74, 75, 76, 77, 80, 81, 82, 85, 86, 89, 94, 95, 96, 98, 103, 104, 106, 107, 109, 111, 113, 116, 117, 118, 121, 122, 123, 124, 125, 126, 128, 129, 131, 133, 134

Offset: 1

Martin Renner, May 25 2015

nonn

A258257(a(n)) > 1.

Complement of A258264.

Giovanni Resta, Table of n, a(n) for n = 1..10000

Cf. A258257, A258264.

t[n_] := n*(n + 1)/2; ok[n_] := Block[{k = 1, t, tt = t /@ Range[Sqrt[2*n]]}, While[{} == (r = IntegerPartitions[n, {k}, tt]), k++]; 1 < Length@r]; Select[ Range@ 1000, ok] (* Giovanni Resta, Jun 09 2015 *)

A258266 Numbers having only one representation as a sum of the minimal number of squares, A002828.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 29, 30, 32, 34, 35, 36, 37, 40, 41, 42, 43, 44, 45, 46, 48, 49, 52, 53, 56, 58, 61, 64, 67, 68, 70, 72, 73, 74, 76, 78, 80, 81, 82, 84, 88, 89, 90, 91, 93, 96, 97

Offset: 1

Martin Renner, May 25 2015

nonn

A180466(a(n)) = 1.

Complement of A258267.

Cf. A180466, A258264, A258267.

cp's OEIS Frontend

A258265 Numbers having more than one representation as a sum of the minimal number of triangular numbers, A000217.

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