A212288 Numbers n such that fusc(k) < fusc(n) for all k < n, where fusc is Stern's diatomic series.

1, 3, 5, 9, 11, 19, 21, 35, 37, 43, 69, 73, 75, 83, 85, 139, 147, 149, 165, 171, 277, 293, 299, 331, 339, 341, 555, 587, 595, 597, 661, 683, 1109, 1173, 1189, 1195, 1323, 1355, 1363, 1365, 2219, 2347, 2379, 2387, 2389, 2645, 2709, 2731, 4437, 4691, 4693, 4757, 4779, 5291

Offset: 1

Author

Charles R Greathouse IV, Jun 13 2012

Keywords

• nonn

Comments

Position of first occurrence of each distinct element in A270362. - Jeffrey Shallit, Mar 15 2016

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 1..645
• Ali Keramatipour and Jeffrey Shallit, Record-Setters in the Stern Sequence, arXiv:2205.06223 [math.CO], 2022.

Crossrefs

Cf. A002487, A212289, A270362.

Programs

PARI

fusc(n)=my(a=1, b=0); while(n, if(n%2, b+=a, a+=b); n>>=1); b
r=0;for(n=1,1e5,t=fusc(n); if(t>r,r=t;print1(n", ")))