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!)
 A237568 Fibonacci-like sequence of numbers with nondecreasing positive digits. Let a^+ denote the number that is obtained from a if its positive digits are written in nondecreasing order, while zeros remain in their places. Let a<+>b = (a + b)^+. a(0)=0, a(1)=1, for n>=2, a(n) = a(n-1) <+> a(n-2). 4
 0, 1, 1, 2, 3, 5, 8, 13, 12, 25, 37, 26, 36, 26, 26, 25, 15, 40, 55, 59, 114, 137, 125, 226, 135, 136, 127, 236, 336, 257, 359, 166, 255, 124, 379, 305, 468, 377, 458, 358, 168, 256, 244, 500, 447, 479, 269, 478, 477, 559, 1036, 1559, 2559, 1148, 3707, 4558, 2568, 1267, 3358, 2456, 1458, 1349, 2708, 4057, 5667, 2479, 1468, 3479, 4479, 5789, 10268, 15067, 23355, 22348 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Note that operation n^+ differs from the one in A004185. If a term of the sequence has k digits, then it is followed by terms with >=k digits. The sequence has 7 terms with 1 digit, 13 terms with 2 digits, 30 terms with 3 digits, etc. The corresponding maximal terms are 8, 59, 559, etc. The sequence is eventually periodic with period of length 144 and the first position of period 237. - Peter J. C. Moses, Feb 09 2014 LINKS Peter J. C. Moses, Table of n, a(n) for n = 0..952 MATHEMATICA a[0]:=0; a[1]:=1; a[n_]:=a[n]=FromDigits[Insert[DeleteCases[Sort[#], 0], 0, 1+#-Range[Length[#]]&[Position[#, 0]]]&[IntegerDigits[a[n-1]+a[n-2]]]]; Map[a, Range[0, 99]] (* Peter J. C. Moses, Feb 09 2014 *) CROSSREFS Cf. A000045, A001129, A004185, A069638. Sequence in context: A010077 A065076 A069638 * A272918 A010076 A182444 Adjacent sequences: A237565 A237566 A237567 * A237569 A237570 A237571 KEYWORD nonn,base AUTHOR Vladimir Shevelev, Feb 09 2014 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 27 06:44 EST 2022. Contains 358362 sequences. (Running on oeis4.)