A003256 a(n) is the number m such that A242094(m) = A001950(n). (Formerly M1330)

2, 5, 7, 9, 12, 14, 17, 19, 21, 24, 26, 28, 31, 33, 36, 38, 40, 43, 45, 47, 49, 51, 54, 56, 58, 61, 63, 66, 68, 70, 73, 75, 77, 80, 82, 85, 87, 89, 92, 94, 97, 99, 101, 104, 106, 108, 111, 113, 116, 118, 120, 123, 125, 127, 129, 131, 134, 136, 138, 141, 143

Offset

1,1

Comments

This is the function named v in [Carlitz]. - Eric M. Schmidt, Aug 14 2014

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

References

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=1..61.

L. Carlitz, R. Scoville and T. Vaughan, Some arithmetic functions related to Fibonacci numbers, Fib. Quart., 11 (1973), 337-386.

Formula

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

Prog

(Haskell)
import Data.List (elemIndex); import Data.Maybe (fromJust)
a003256 = (+ 1) . fromJust . (`elemIndex` a242094_list) . a001950
-- Reinhard Zumkeller, Oct 03 2014

Crossrefs

Cf. A001950, A003234, A242094.

Sequence in context: A243808 A275278 A184007 * A029901 A080652 A187344

Adjacent sequences: A003253 A003254 A003255 * A003257 A003258 A003259

Keyword

nonn

Author

N. J. A. Sloane

Extensions

New definition by Eric M. Schmidt, Aug 17 2014

Status

approved