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A327962 a(1) = 27846; thereafter a(n+1) = a(n) # n, where # is an operation that cycles through division, addition, subtraction and multiplication. 0
27846, 27846, 27848, 27845, 111380, 22276, 22282, 22275, 178200, 19800, 19810, 19799, 237588, 18276, 18290, 18275, 292400, 17200, 17218, 17199, 343980, 16380, 16402, 16379, 393096 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(26) is not an integer, so we terminate the sequence. This is the longest integer-only sequence of this type.

LINKS

Table of n, a(n) for n=1..25.

Puzzling StackExchange, What is the next number in the series: 21, 21, 23, 20, 5, 25, 31, 24,?.

EXAMPLE

a(1) = 27846

a(2) = a(1)/1 = 27846

a(3) = a(2)+2 = 27848

a(4) = a(3)-3 = 27845

a(5) = a(4)*4 = 111380

a(6) = a(5)/5 = 22276

MATHEMATICA

With[{f = {Times, Divide, Plus, Subtract}}, NestWhile[Append[#1, Apply[f[[#3]], {#1[[-1]], #2}]] & @@ {#1, #2, 1 + Mod[#2, 4]} & @@ {#1, Length[#]} &, {27846}, FreeQ[#, Rational] &, 1, Infinity, -1]] (* Michael De Vlieger, Oct 01 2019 *)

CROSSREFS

Sequence in context: A058419 A235208 A251494 * A046333 A202403 A206618

Adjacent sequences:  A327959 A327960 A327961 * A327963 A327964 A327965

KEYWORD

nonn,fini

AUTHOR

Dmitry Kamenetsky, Oct 01 2019

STATUS

approved

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Last modified August 9 09:43 EDT 2022. Contains 356021 sequences. (Running on oeis4.)