A218601 -id:A218601 - cp's OEIS frontend

A218602 Simple self-inverse permutation of natural numbers: after zero, list each block of A213709(n) numbers in reverse order, from A218600(n) to A213710(n-1).

0, 1, 2, 4, 3, 7, 6, 5, 12, 11, 10, 9, 8, 21, 20, 19, 18, 17, 16, 15, 14, 13, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39

Offset: 0

Antti Karttunen, Nov 10 2012

nonn

This permutation can be used to map between the sequences A179016 and A218616. E.g. A179016(n) = A218616(a(n)) and vice versa: A218616(n) = A179016(a(n)).

Antti Karttunen, Table of n, a(n) for n = 0..8727
Index entries for sequences that are permutations of the natural numbers

Cf. A179016, A218616, A054429, A130918, A054430.

(define (A218602 n) (- (A218600 (A213711 n)) (A218601 n)))

a(n) = A218600(A213711(n))-A218601(n).

A230431 After the first zero, integers from 0 to A219661(n)-1 followed by integers from 0 to A219661(n+1)-1, etc.

Original entry on oeis.org

0, 0, 0, 1, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44

Offset: 0

Antti Karttunen, Oct 22 2013

nonn

Cf. A219661, A219665, A230411. Used to compute A230432.

Analogous sequence for binary system: A218601.

(define (A230431 n) (if (< n 2) 0 (- n (A219665 (-1+ (A230411 (+ n 1)))))))

a(0) = a(1) = 0, and for n > 1, a(n) = n - A219665(A230411(n+1)-1).

A255120 After the first zero, numbers from 0 to A255071(n)-1 followed by numbers from 0 to A255071(n+1)-1, etc.

Original entry on oeis.org

0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 5, 6, 7, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19

Offset: 0

Antti Karttunen, Feb 14 2015

nonn

An auxiliary sequence for computing A255122 and A255056.

Antti Karttunen, Table of n, a(n) for n = 0..721

Cf. A255056, A255062, A255121, A255122.

Similar sequence: A218601.

(define (A255120 n) (if (zero? n) n (- n (A255062 (A255121 n)))))

a(0) = 0; and for n >= 1, a(n) = n - A255062(A255121(n)).

A218599 After the first zero, integers from A213709(n)-1 to 0 followed by integers from A213709(n+1)-1 to 0, etc.

Original entry on oeis.org

0, 0, 0, 1, 0, 2, 1, 0, 4, 3, 2, 1, 0, 8, 7, 6, 5, 4, 3, 2, 1, 0, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0

Offset: 0

Antti Karttunen, Nov 10 2012

nonn

Antti Karttunen, Table of n, a(n) for n = 0..8727

Cf. A218601.

(define (A218599 n) (- (A218600 (A213711 n)) n))

a(n) = A218600(A213711(n))-n.

cp's OEIS Frontend

A218602 Simple self-inverse permutation of natural numbers: after zero, list each block of A213709(n) numbers in reverse order, from A218600(n) to A213710(n-1).

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Scheme

Formula

A230431 After the first zero, integers from 0 to A219661(n)-1 followed by integers from 0 to A219661(n+1)-1, etc.

Views

Author

Keywords

Crossrefs

Programs

Scheme

Formula

A255120 After the first zero, numbers from 0 to A255071(n)-1 followed by numbers from 0 to A255071(n+1)-1, etc.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Scheme

Formula

A218599 After the first zero, integers from A213709(n)-1 to 0 followed by integers from A213709(n+1)-1 to 0, etc.

Views

Author

Keywords

Links

Crossrefs

Programs

Scheme

Formula