A218784 -id:A218784 - cp's OEIS frontend

A218545 First differences of A218784. Lengths of runs in A213728 and A213729.

1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 4, 1, 2, 2, 3, 1, 2, 1, 1, 3, 1, 1, 2, 2, 3, 1, 2, 1, 1, 4, 2, 1, 6, 2, 2, 1, 2, 2, 3, 1, 2, 1, 1, 4, 2, 1, 6, 2, 1, 1, 2, 1, 6, 3, 3, 5, 2, 1, 1, 1, 2, 2, 3, 1, 2, 1, 1, 4, 2, 1, 6, 2, 1, 1, 2, 1, 6, 3, 3, 5, 2, 2, 2, 1

Offset: 1

Antti Karttunen, Nov 02 2012

nonn

These numbers tell how many times the infinite trunk of beanstalk (A179016) branches into the same direction, before changing the direction.

Antti Karttunen, Table of n, a(n) for n = 1..8650

A218546 gives the positions of records. Cf. also A218547. Also the first differences of A218544, i.e. a(n) = A218544(n+1)-A218544(n).

(define (A218545 n) (- (A218784 n) (A218784 (-1+ n))))

a(n) = A218784(n)-A218784(n-1).

A218544 a(n) = A218784(n)+1.

Original entry on oeis.org

1, 2, 4, 5, 6, 7, 9, 10, 12, 13, 14, 15, 17, 19, 23, 24, 26, 28, 31, 32, 34, 35, 36, 39, 40, 41, 43, 45, 48, 49, 51, 52, 53, 57, 59, 60, 66, 68, 70, 71, 73, 75, 78, 79, 81, 82, 83, 87, 89, 90, 96, 98, 99, 100, 102, 103, 109, 112, 115, 120, 122, 123, 124, 125

Offset: 0

Antti Karttunen, Nov 02 2012

nonn

These terms are one more than the positions where the infinite trunk of beanstalk (A179016) changes its branching direction, i.e. where its parity changes.

Antti Karttunen, Table of n, a(n) for n = 0..8649

Cf. A179016, A213729, A218545, A218546, A218617, A218784.

Scheme
```
(define (A218544 n) (1+ (A218784 n)))
```

a(1)=1 and in the later terms i occurs whenever A213729(i) differs from A213729(i-1).

Offset and definition changed because of the changed starting offset of A213729. - Antti Karttunen, Nov 11 2012

A218617 Positions in A213728 and A213729 where the next record length run starts.

Original entry on oeis.org

0, 1, 18, 59, 7814

Offset: 1

Antti Karttunen, Nov 11 2012

A218545(A218546(n)) gives the records (of run lengths), which for the first five cases are: 1, 2, 4, 6, 8.

A213729(a(n)) gives the parity of the n-th record run, which for the first case (n=1) is 0, and for the next four (n=2..5) is 1.

A218547(n) = a(n)+1.

(define (A218617 n) (A218784 (-1+ (A218546 n))))

a(n) = A218784(A218546(n)-1).

cp's OEIS Frontend

A218545 First differences of A218784. Lengths of runs in A213728 and A213729.

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A218544 a(n) = A218784(n)+1.

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A218617 Positions in A213728 and A213729 where the next record length run starts.

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