A072795 -id:A072795 - cp's OEIS frontend

A085223 Row 1 of A085201.

1, 2, 4, 6, 9, 11, 14, 16, 19, 23, 25, 28, 30, 33, 37, 39, 42, 44, 47, 51, 53, 56, 60, 65, 67, 70, 72, 75, 79, 81, 84, 86, 89, 93, 95, 98, 102, 107, 109, 112, 114, 117, 121, 123, 126, 128, 131, 135, 137, 140, 144, 149, 151, 154, 156, 159, 163, 165, 168, 172, 177, 179

Offset: 0

Antti Karttunen, Jun 23 2003

nonn

Gives in A014486 the positions of the plane general trees whose rightmost subtree (branching from the root) is just a stick: "/", thus corresponding to the parenthesizations whose last element (of the top-level list) is an empty parenthesization: (), i.e. in A063171 positions of the terms which end with digits ...10

a(n) = A085201bi(n, 1) = A057164(A072795(A057164(n))) = A057508(A072795(A057508(n))) = A080300(A085224(n))

A220696 The positions of those permutations in A030298 where the first element is one (fixed).

Original entry on oeis.org

1, 2, 4, 5, 10, 11, 12, 13, 14, 15, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179

Offset: 1

Antti Karttunen, Dec 17 2012

nonn

Correspondingly gives the positions of those terms in A030299 whose first digit is 1, as long as the decimal encoding system employed is valid.

A. Karttunen, Table of n, a(n) for n = 1..5914

Complement: A220656. Cf. A072795.

a(1)=1; and for n>1, a(n)=A220695(n-1)+1.

A085196 Difference of row 1 and column 1 of the array A085201.

Original entry on oeis.org

0, 0, 0, 1, 0, 1, 3, 4, 6, 0, 1, 3, 4, 6, 9, 10, 12, 13, 15, 18, 19, 21, 24, 0, 1, 3, 4, 6, 9, 10, 12, 13, 15, 18, 19, 21, 24, 28, 29, 31, 32, 34, 37, 38, 40, 41, 43, 46, 47, 49, 52, 56, 57, 59, 60, 62, 65, 66, 68, 71, 75, 76, 78, 81, 85, 0, 1, 3, 4, 6, 9, 10, 12, 13, 15, 18, 19, 21

Offset: 0

Antti Karttunen, Jun 14 2003

nonn

The repeating part: A080336 = A085196 o A081291. Cf. A085197.

a(n) = A085223(n) - A072795(n).

A127307 Positions of Dyck words beginning as UUD (110) in A014486/A063171.

Original entry on oeis.org

3, 6, 7, 14, 15, 16, 17, 18, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141

Offset: 1

Antti Karttunen, Jan 16 2007

nonn

(define (A127307 n) (A072764bi (A072795 (A072771 n)) (A072772 n)))
(define (*A127307 s) (cons (cons '() (car s)) (cdr s))) ;; Corresponding function acting on S-expressions.

a(n) = A072764bi(A072795(A072771(n)),A072772(n)).

A083937 A014486-encodings of the plane binary trees and plane general trees whose left(most) subtree is just a "stick": \.

Original entry on oeis.org

2, 10, 42, 44, 170, 172, 178, 180, 184, 682, 684, 690, 692, 696, 714, 716, 722, 724, 728, 738, 740, 744, 752, 2730, 2732, 2738, 2740, 2744, 2762, 2764, 2770, 2772, 2776, 2786, 2788, 2792, 2800, 2858, 2860, 2866, 2868, 2872, 2890, 2892, 2898, 2900, 2904, 2914

Offset: 0

Antti Karttunen, Jun 13 2003

nonn

Index entries for encodings of plane rooted trees

Cf. A014486, A072795, A085224.

a(n) = A014486(A072795(n)).

cp's OEIS Frontend

A085223 Row 1 of A085201.

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A220696 The positions of those permutations in A030298 where the first element is one (fixed).

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A085196 Difference of row 1 and column 1 of the array A085201.

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A127307 Positions of Dyck words beginning as UUD (110) in A014486/A063171.

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A083937 A014486-encodings of the plane binary trees and plane general trees whose left(most) subtree is just a "stick": \.

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