A276584 -id:A276584 - cp's OEIS frontend

A276583 The infinite trunk of greedy squares beanstalk: The only infinite sequence such that a(n-1) = a(n) - number of squares that sum to a(n) with greedy algorithm (A053610).

0, 3, 6, 8, 11, 15, 18, 21, 24, 27, 32, 35, 38, 43, 48, 51, 56, 59, 63, 66, 71, 74, 78, 80, 83, 88, 91, 95, 99, 102, 107, 110, 114, 117, 120, 123, 128, 131, 135, 138, 143, 146, 151, 154, 158, 161, 164, 168, 171, 176, 179, 183, 186, 192, 195, 198, 203, 206, 210, 213, 219, 224, 227, 232, 235, 239, 242, 248, 251, 255

Offset: 0

Antti Karttunen, Sep 07 2016

nonn

Antti Karttunen, Table of n, a(n) for n = 0..10095

Cf. A053610, A260740, A276582, A276584, A276585 (first differences).

Cf. also A179016, A259934, A276573, A276613, A276623 for similar constructions.

(define (A276583 n) (A276584 (A276582 n)))

a(n) = A276584(A276582(n)).

A276582 Simple self-inverse permutation of natural numbers: after a(0)=0, list each block of A261224(n) numbers in reverse order, from A261222(n) to A261223(1+n).

Original entry on oeis.org

0, 1, 3, 2, 5, 4, 8, 7, 6, 11, 10, 9, 14, 13, 12, 18, 17, 16, 15, 23, 22, 21, 20, 19, 28, 27, 26, 25, 24, 34, 33, 32, 31, 30, 29, 40, 39, 38, 37, 36, 35, 47, 46, 45, 44, 43, 42, 41, 54, 53, 52, 51, 50, 49, 48, 61, 60, 59, 58, 57, 56, 55, 69, 68, 67, 66, 65, 64, 63, 62, 77, 76, 75, 74, 73, 72, 71, 70, 86, 85, 84, 83, 82, 81, 80, 79, 78

Offset: 0

Antti Karttunen, Sep 07 2016

nonn

Maps between A276583 and A276584.

Antti Karttunen, Table of n, a(n) for n = 0..9996
Index entries for sequences that are permutations of the natural numbers

Cf. A261222, A261223, A261224, A276581, A276583, A276584.

(define (A276582 n) (if (zero? n) n (+ (- (A261223 (+ 1 (A276581 n))) n) (A261222 (A276581 n)))))

a(0)=0; for n >= 1, a(n) = (A261223(1+A276581(n))- n)+A261222(A276581(n)).

cp's OEIS Frontend

A276583 The infinite trunk of greedy squares beanstalk: The only infinite sequence such that a(n-1) = a(n) - number of squares that sum to a(n) with greedy algorithm (A053610).

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