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A056530 Sequence remaining after third round of Flavius Josephus sieve; remove every fourth term of A047241. 7
1, 3, 7, 13, 15, 19, 25, 27, 31, 37, 39, 43, 49, 51, 55, 61, 63, 67, 73, 75, 79, 85, 87, 91, 97, 99, 103, 109, 111, 115, 121, 123, 127, 133, 135, 139, 145, 147, 151, 157, 159, 163, 169, 171, 175, 181, 183, 187, 193, 195, 199, 205, 207, 211, 217, 219, 223, 229, 231 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Numbers {1, 3, 7} mod 12

LINKS

Table of n, a(n) for n=1..59.

FORMULA

From Chai Wah Wu, Jul 24 2016: (Start)

a(n) = a(n-1) + a(n-3) - a(n-4) for n > 4.

G.f.: x*(5*x^3 + 4*x^2 + 2*x + 1)/(x^4 - x^3 - x + 1). (End)

CROSSREFS

We have A000027 after 0 rounds of sieving, A005408 after 1 round of sieving, A047241 after 2 rounds, A056530 after 3 rounds, A056531 after 4 rounds, A000960 after all rounds. After n rounds the remaining sequence comprises A002944(n) numbers mod A003418(n+1), i.e. 1/(n+1) of them.

Sequence in context: A310251 A035496 A310252 * A310253 A092734 A209839

Adjacent sequences:  A056527 A056528 A056529 * A056531 A056532 A056533

KEYWORD

easy,nonn

AUTHOR

Henry Bottomley, Jun 19 2000

STATUS

approved

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Last modified November 17 16:04 EST 2019. Contains 329238 sequences. (Running on oeis4.)