The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A330500 a(n) = a(n-1) + a(floor(n/3)), a(1) = a(2) = 1. 1
 1, 1, 2, 3, 4, 5, 6, 7, 9, 11, 13, 16, 19, 22, 26, 30, 34, 39, 44, 49, 55, 61, 67, 74, 81, 88, 97, 106, 115, 126, 137, 148, 161, 174, 187, 203, 219, 235, 254, 273, 292, 314, 336, 358, 384, 410, 436, 466, 496, 526, 560, 594, 628, 667, 706, 745, 789, 833, 877 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Also, the number of finite sequences b(1..r) satisfying b(1) = 1 and b(i+1) >= 3*b(i) and b(r) <= n. LINKS EXAMPLE For n = 10 the 11 sequences enumerated are (1), (1,3), (1,4), (1,5), (1,6), (1,7), (1,8), (1,9), (1,10), (1,3,9), (1,3,10). MAPLE a:= proc(n) option remember; `if`(n<2, n, a(n-1)+a(iquo(n, 3))) end: seq(a(n), n=1..75); # Alois P. Heinz, Dec 16 2019 MATHEMATICA Nest[Append[#1, #1[[-1]] + #1[[Floor[#2/3] ]] ] & @@ {#, Length@ # + 1} &, {1, 1}, 57] (* Michael De Vlieger, Dec 16 2019 *) CROSSREFS An analog of A033485. Sequence in context: A026445 A279078 A308627 * A030151 A307360 A283455 Adjacent sequences: A330497 A330498 A330499 * A330501 A330502 A330503 KEYWORD nonn AUTHOR Jeffrey Shallit, Dec 16 2019 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified November 28 22:51 EST 2022. Contains 358421 sequences. (Running on oeis4.)