A342820 Frobenius number of the triangular numbers (A000217) starting with the n-th term.

17, 29, 54, 95, 124, 152, 239, 284, 294, 399, 419, 523, 644, 647, 774, 923, 944, 1175, 1175, 1295, 1346, 1595, 1595, 1827, 1945, 2063, 2142, 2273, 2409, 2581, 2678, 2735, 3053, 3158, 3158, 3608, 3899, 4370, 4370, 4370, 4460, 4689, 4940, 5237, 5558, 5558, 5828

Offset

2,1

Comments

The Frobenius number of a set S with gcd 1 is the largest nonnegative integer that cannot be represented as a nonnegative integer linear combination of the elements of S.

Links

Table of n, a(n) for n=2..48.

Example

For n = 3 the Frobenius number of {6,10,15,21,28,...} is 29.

Mathematica

Module[{nn=50, tr}, tr=Accumulate[Range[2nn]]; Table[FrobeniusNumber[ Drop[ tr, n]], {n, nn}]] (* Harvey P. Dale, Aug 27 2021 *)

Crossrefs

Cf. A000217.

Sequence in context: A259614 A139840 A090796 * A190556 A241485 A089629

Adjacent sequences: A342817 A342818 A342819 * A342821 A342822 A342823

Keyword

nonn

Author

Jeffrey Shallit, Mar 22 2021

Status

approved