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A097046 a(n) = a(n-1) + a(floor(sqrt(n))) for n > 1; a(1) = 1. 3
1, 2, 3, 5, 7, 9, 11, 13, 16, 19, 22, 25, 28, 31, 34, 39, 44, 49, 54, 59, 64, 69, 74, 79, 86, 93, 100, 107, 114, 121, 128, 135, 142, 149, 156, 165, 174, 183, 192, 201, 210, 219, 228, 237, 246, 255, 264, 273, 284, 295, 306, 317, 328, 339, 350, 361, 372, 383, 394, 405 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
By definition, this sequence consists of an infinite sequence of finite subsequences of increasing lengths with common differences a(1), a(2), a(3), ..., respectively.
LINKS
FORMULA
a(1)=1; a(n) = a(n-1) + a(floor(sqrt(n))) for n > 1.
MAPLE
a:= proc(n) option remember;
`if`(n<2, 1, a(n-1)+a(floor(sqrt(n))))
end:
seq(a(n), n=1..80); # Alois P. Heinz, Apr 09 2021
CROSSREFS
Cf. A097045 ( a(n-1) - a(floor(sqrt(n))) ).
Sequence in context: A287374 A186390 A022554 * A248420 A011861 A229511
KEYWORD
nonn
AUTHOR
Rick L. Shepherd, Jul 20 2004
STATUS
approved

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Last modified May 27 12:58 EDT 2024. Contains 372859 sequences. (Running on oeis4.)