

A193018


The largest integer that cannot be written as the sum of squares of integers larger than n.


3



23, 87, 119, 201, 312, 376, 455, 616, 760, 840, 1055, 1136, 1248, 1472, 1719, 1959, 2064, 2472, 2764, 2976, 3264, 3407, 3584, 4032, 4336, 4848, 4992, 5088, 5523, 5900, 6112, 6624, 7360, 7680, 7680, 8448, 8960, 9152, 9856, 10208, 11136, 11904, 12256, 12256
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OFFSET

2,1


COMMENTS

Numbers can be used more than once.


LINKS

Giovanni Resta, Table of n, a(n) for n = 2..100


FORMULA

a(n) < n^4 + 6n^3 + 11n^2 + 6n by Sylvester's theorem. [Charles R Greathouse IV, Jul 14 2011]


MATHEMATICA

a[n_] := Block[{k = 4, f}, While[ (n+k)^2 <= (f = FrobeniusNumber[ Range[ n, n+k]^2]), k++]; f]; a /@ Range[2, 45] (* Giovanni Resta, Jun 13 2016 *)


CROSSREFS

Cf. A191090, A191091.
Sequence in context: A172117 A217529 A284711 * A044210 A044591 A050255
Adjacent sequences: A193015 A193016 A193017 * A193019 A193020 A193021


KEYWORD

nonn,easy


AUTHOR

Remmert Borst, Jul 14 2011


STATUS

approved



