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A102806
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Numbers that are not the sum of distinct tetrahedral numbers.
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8
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2, 3, 6, 7, 8, 9, 12, 13, 16, 17, 18, 19, 22, 23, 26, 27, 28, 29, 32, 33, 37, 38, 41, 42, 43, 44, 47, 48, 51, 52, 53, 54, 58, 62, 63, 64, 68, 72, 73, 74, 75, 78, 79, 82, 83, 93, 97, 100, 103, 107, 110, 113, 117, 127, 128, 132, 136, 137, 138, 142, 146, 147, 148
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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COMMENTS
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The b-file contains all the members of the sequence. See link. - Robert Israel, Dec 29 2019
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LINKS
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Robert Israel, Table of n, a(n) for n = 1..112
Robert Israel, Proof that the b-file is full
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MAPLE
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N:= 100000: # to test all n <= N
ft:= t -> t*(t+1)*(t+2)/6:
tets:= map(ft, [$1..floor((6*N)^(1/3))]):
f:= proc(n, tmax) option remember;
local res, s;
if member(n, tets) and n < tmax then return false fi;
for s in tets while s < min(n, tmax) do
if not procname(n-s, s) then return false fi
od;
true
end proc:
select(f, [$1..N], infinity); # Robert Israel, Dec 29 2019
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CROSSREFS
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Cf. A000292, A104246, A102795, etc.
Sequence in context: A037460 A285134 A161824 * A275884 A003605 A344128
Adjacent sequences: A102803 A102804 A102805 * A102807 A102808 A102809
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KEYWORD
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nonn,fini,full
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AUTHOR
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Jud McCranie, Feb 26 2005
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STATUS
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approved
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