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A122493
Union of Fibonacci and triangular numbers.
1
0, 1, 2, 3, 5, 6, 8, 10, 13, 15, 21, 28, 34, 36, 45, 55, 66, 78, 89, 91, 105, 120, 136, 144, 153, 171, 190, 210, 231, 233, 253, 276, 300, 325, 351, 377, 378, 406, 435, 465, 496, 528, 561, 595, 610, 630, 666, 703, 741, 780, 820, 861, 903, 946, 987, 990, 1035, 1081
OFFSET
0,3
LINKS
MAPLE
#does not generate terms in order# with(combinat, fibonacci): for i from 1 to 20 do fibonacci(i); sum(k, k=0..i); end do;
MATHEMATICA
Module[{upto=1100, f=1, tr}, While[Fibonacci[f]<upto, f++]; tr=Ceiling[ (Sqrt[ 1+8*upto]-1)/2]; Select[Join[Fibonacci[Range[0, f]], Accumulate[ Range[ tr]]]// Union, #<=upto&]] (* Harvey P. Dale, Oct 21 2016 *)
CROSSREFS
Sequence in context: A229172 A056837 A001971 * A284830 A053873 A332272
KEYWORD
nonn
AUTHOR
Ben Paul Thurston, Sep 16 2006
EXTENSIONS
More terms from Franklin T. Adams-Watters, Sep 20 2006
STATUS
approved