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!)
 A114990 a(n) = a(n-2) + A000265(a(n-1)), a(0)=0, a(1)=1. 1
 0, 1, 1, 2, 2, 3, 5, 8, 6, 11, 17, 28, 24, 31, 55, 86, 98, 135, 233, 368, 256, 369, 625, 994, 1122, 1555, 2677, 4232, 3206, 5835, 9041, 14876, 12760, 16471, 29231, 45702, 52082, 71743, 123825, 195568, 136048, 204071, 340119, 544190, 612214, 850297, 1462511 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS The sequence is clearly not monotonic, but the subsequences with even resp. odd indices are both strictly increasing. The sequence is obviously bounded above by the Fibonacci sequence A000045. The subsequence of n-th terms, where n is congruent to 2 or 3 mod 4, is bounded below by the Fibonacci sequence; therefore a(2n)>f(n) for n>1. - Joseph Pedersen (jmp456(AT)psu.edu), Feb 27 2006, rephrased by M. F. Hasler, Feb 18 2013 LINKS EXAMPLE The highest odd integer dividing a(11)=28 is 7. So a(12) = a(10) + 7 = 17 + 7 = 24. The greatest odd divisor of a(11)=28 is 7, so a(12)= a(10)+7 = 17+7 = 24. PROG (PARI) A114990(n, print_all=0, a=1, o=0)={n||a=o; for(n=2, n, print_all&print1(a", "); a=o+a>>valuation(o=a, 2)); a} \\ Old versions (<= 2.4) of PARI might require to write o+0+a>>... - M. F. Hasler, Feb 18 2013 CROSSREFS Cf. A000265. Sequence in context: A253853 A127678 A199962 * A241421 A157176 A276429 Adjacent sequences: A114987 A114988 A114989 * A114991 A114992 A114993 KEYWORD easy,nonn AUTHOR Leroy Quet, Feb 22 2006 EXTENSIONS More terms from Joseph Pedersen (jmp456(AT)psu.edu) and Amy Postell (arp179(AT)psu.edu), Feb 27 2006 Edited & initial term a(0)=0 added by M. F. Hasler, Feb 18 2013 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 December 1 15:30 EST 2022. Contains 358468 sequences. (Running on oeis4.)