The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A347295 a(n) = 1 + (a(n-1) interpreted as a hexadecimal number); a(1)=1. 0
 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 17, 24, 37, 56, 87, 136, 311, 786, 1927, 6440, 25665, 153190, 1388945, 20482374, 541598581, 22571222402, 2359835108355, 621877794997078, 441783186122961017, 1256072821702542102552, 22166920289514371672974675 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS a(1)=1, and each subsequent term is obtained by interpreting the previous term as a hexadecimal number, converting it into decimal, and incrementing by 1. This same procedure can be applied to create other base-switch sequences, e.g., between hexadecimal and octal or between decimal and octal. The base b1 in which a(n-1) is interpreted must be larger than the base b2 into which it is converted; otherwise, the b1-th term will be b1 written in base b2, which will not be a valid base-b1 expansion (e.g., with b1=10 and b2=16, we would obtain a(10)="A", which is not a valid decimal number). LINKS Table of n, a(n) for n=1..31. FORMULA a(n) = A102489(a(n-1)) + 1. - Jon E. Schoenfield, Jan 23 2022 Limit_{n->infinity} log(a(n))/log_10(16)^n = 0.180064331228631629088182553063.... - Jon E. Schoenfield, Jan 23 2022 EXAMPLE a(1)=1; 1_16 = 1_10; 1 + 1 = 2 = a(2); 2_16 = 2_10; 2 + 1 = 3 = a(3); ... This will continue till a(10)=10, when base differences start to have an effect. 10_16 = 16_10; 16 + 1 = 17 = a(11); 17_16 = 23_10; 23 + 1 = 24 = a(12); 24_16 = 36_10; 36 + 1 = 37 = a(13); 37_16 = 55_10; 55 + 1 = 56 = a(14). MATHEMATICA NestList[FromDigits[IntegerDigits[#], 16] + 1 &, 1, 30] (* Amiram Eldar, Jan 23 2022 *) PROG (Python) #Hex-dec switch seq=[] seq.append(1) print(seq[0]) for i in range(1, 50): dec=int(str(seq[i-1]), 16) dec=dec+1 seq.append(dec) print(seq) CROSSREFS Cf. A102489. Sequence in context: A265329 A032999 A032979 * A032872 A032345 A023765 Adjacent sequences: A347292 A347293 A347294 * A347296 A347297 A347298 KEYWORD nonn,base AUTHOR Divyanand Valsan, Jan 23 2022 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 June 16 19:52 EDT 2024. Contains 373432 sequences. (Running on oeis4.)