A246274 Inverse of A246273 considered as a permutation of natural numbers.

1, 2, 3, 4, 6, 7, 10, 5, 15, 11, 21, 16, 28, 9, 36, 22, 45, 29, 55, 20, 66, 37, 78, 8, 91, 14, 105, 46, 120, 56, 136, 35, 153, 13, 171, 67, 190, 77, 210, 79, 231, 92, 253, 27, 276, 106, 300, 12, 325, 104, 351, 121, 378, 26, 406, 170, 435, 137, 465, 154, 496, 65, 528, 43, 561, 172, 595, 209, 630, 191, 666, 211, 703, 54, 741, 18

Offset

1,2

Links

Antti Karttunen, Table of n, a(n) for n = 1..10001

Index entries for sequences that are permutations of the natural numbers

Formula

a(n) = ((x+y)^2 - x - 3y + 2)/2, where x = A246277(n+1) and y = A055396(n+1).

As a composition of related permutations:

a(n) = A209268(A246675(n)).

Prog

(Scheme) (define (A246274 n) (let ((x (A246277 (+ 1 n))) (y (A055396 (+ 1 n)))) (* (/ 1 2) (- (expt (+ x y) 2) x y y y -2))))

Crossrefs

Inverse: A246273.

Related permutations: A209268, A246675, A246276.

Cf. A055396, A246277.

Sequence in context: A208281 A306074 A250252 * A057519 A337659 A155905

Adjacent sequences: A246271 A246272 A246273 * A246275 A246276 A246277

Keyword

nonn

Author

Antti Karttunen, Aug 21 2014

Status

approved