cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A003256 a(n) is the number m such that A242094(m) = A001950(n).

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%I A003256 M1330 #32 Jan 05 2025 19:51:33
%S A003256 2,5,7,9,12,14,17,19,21,24,26,28,31,33,36,38,40,43,45,47,49,51,54,56,
%T A003256 58,61,63,66,68,70,73,75,77,80,82,85,87,89,92,94,97,99,101,104,106,
%U A003256 108,111,113,116,118,120,123,125,127,129,131,134,136,138,141,143
%N A003256 a(n) is the number m such that A242094(m) = A001950(n).
%C A003256 This is the function named v in [Carlitz]. - _Eric M. Schmidt_, Aug 14 2014
%C A003256 Ron Reble remarks that Carlitz has a typo on page 339: Carlitz writes "In particular since (b) is a proper subset of (a), there exists a function v such that b = av." It should be "(b) is a proper subset of (u), ... b = uv." - _N. J. A. Sloane_, Jan 20 2020
%D A003256 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A003256 L. Carlitz, R. Scoville and T. Vaughan, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Scanned/11-4/carlitz.pdf">Some arithmetic functions related to Fibonacci numbers</a>, Fib. Quart., 11 (1973), 337-386.
%F A003256 a(n) = A001950(n) - j, where j is the largest integer such that A003234(j) < n. [Carlitz, Thm. 7.3]. - _Eric M. Schmidt_, Sep 16 2014
%o A003256 (Haskell)
%o A003256 import Data.List (elemIndex); import Data.Maybe (fromJust)
%o A003256 a003256 = (+ 1) . fromJust . (`elemIndex` a242094_list) . a001950
%o A003256 -- _Reinhard Zumkeller_, Oct 03 2014
%Y A003256 Cf. A001950, A003234, A242094.
%K A003256 nonn
%O A003256 1,1
%A A003256 _N. J. A. Sloane_
%E A003256 New definition by _Eric M. Schmidt_, Aug 17 2014