A227741 - OEIS

A227741

Simple self-inverse permutation of natural numbers: List each block of A005811(n) numbers from A173318(n-1)+1 to A173318(n) in reverse order.

1, 3, 2, 4, 6, 5, 9, 8, 7, 11, 10, 12, 14, 13, 17, 16, 15, 21, 20, 19, 18, 24, 23, 22, 26, 25, 29, 28, 27, 31, 30, 32, 34, 33, 37, 36, 35, 41, 40, 39, 38, 44, 43, 42, 48, 47, 46, 45, 53, 52, 51, 50, 49, 57, 56, 55, 54, 60, 59, 58, 62, 61, 65, 64, 63, 69, 68, 67, 66

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OFFSET

1,2

COMMENTS

This permutation maps between such irregular tables as A101211 and A227736 which are otherwise identical, except for the order in which the lengths of runs have been listed. In other words, A227736(n) = A101211(a(n)) and vice versa, A101211(n) = A227736(a(n)).

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..1001

Index entries for sequences that are permutations of the natural numbers

FORMULA

a(n) = A173318(A227737(n)) - A227740(n).

PROG

(Scheme) (define (A227741 n) (- (A173318 (A227737 n)) (A227740 n)))

CROSSREFS

Cf. A227742 (gives the fixed points).

Cf. also A227737, A227740, A005811, A173318.

Sequence in context: A093573 A126290 A277377 * A059417 A078824 A014685

Adjacent sequences: A227738 A227739 A227740 * A227742 A227743 A227744

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jul 25 2013

STATUS

approved