A225632 -id:A225632 - cp's OEIS frontend

A226055 a(n) is the first common term in column n of tables A225630 and A225640, when scanned from the top to bottom.

1, 1, 2, 3, 4, 30, 6, 84, 120, 180, 210, 4620, 4620, 780, 360360, 360360, 240240, 92820, 12252240, 175560, 58198140, 116396280, 360360, 753480, 2677114440, 13385572200, 26771144400, 40156716600, 2677114440, 13665960, 2329089562800, 82990547640, 48134517631200

Offset: 0

Antti Karttunen, May 24 2013

nonn

Consider an algorithm which finds a maximum value lcm(p1,p2,...,pk,prevmax) among all partitions {p1+p2+...+pk} of n, where the "seed number" prevmax is such a maximum value from the previous iteration.
a(n) gives the first identical value encountered, after repeated iterations, when starting from the initial seed value 1, and when starting from the initial seed value of n.
Equivalently, the first common term occurring on the row n of tables A225632 and A225642, when scanning the rows from the left. These are A225638(n)-th and A225639(n)-th terms from the beginning of each row, respectively.

			Row 8 of A225632 is 1, 15, 120, 840;
Row 8 of A225642 is 8, 120, 840;
Their first common term from the left is 120, thus a(8)=120.

Index entries for sequences related to lcm's

Cf. A225630, A225640, A225638, A225639.

Also, a(n) is the A226056(n)-th rightmost term on the row n in tables A225632 and A225642.

(define (A226055 n) (A225630bi n (A225638 n)))
(define (A226055 n) (A225640bi n (A225639 n))) ;; Alternative definition.
;; The Scheme-definitions of A225630bi and A225640bi given respectively in A225630 and A225640.

a(n) = A225630(A225638(n),n) = A225640(A225639(n),n).

A225635 Partial sums of A225634.

Original entry on oeis.org

1, 2, 4, 7, 10, 14, 18, 22, 26, 31, 36, 42, 48, 55, 61, 67, 73, 80, 87, 95, 102, 109, 116, 124, 132, 140, 148, 157, 166, 175, 184, 194, 204, 214, 224, 234, 243, 253, 264, 275, 285, 296, 306, 318, 330, 342, 354, 367, 379, 392, 405, 418, 430, 443, 456, 469, 481

Offset: 1

Antti Karttunen, May 13 2013

nonn

Gives the positions of ones in A225632.

Cf. A225632, A225634, A225645.

A225631 Transpose of A225630.

Original entry on oeis.org

1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 6, 4, 1, 1, 1, 2, 6, 12, 6, 1, 1, 1, 2, 6, 12, 30, 6, 1, 1, 1, 2, 6, 12, 60, 30, 12, 1, 1, 1, 2, 6, 12, 60, 60, 84, 15, 1, 1, 1, 2, 6, 12, 60, 60, 420, 120, 20, 1, 1, 1, 2, 6, 12, 60, 60, 420, 840, 180, 30, 1

Offset: 0

Antti Karttunen, May 13 2013

See comments at A225630.

Irregular table A225632 gives A225634(n) distinct terms from the beginning of each row.

(define (A225631 n) (A225630bi (A002262 n) (A025581 n)))

cp's OEIS Frontend

A226055 a(n) is the first common term in column n of tables A225630 and A225640, when scanned from the top to bottom.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

Scheme

Formula

A225635 Partial sums of A225634.

Views

Author

Keywords

Comments

Crossrefs

A225631 Transpose of A225630.

Views

Author

Keywords

Comments

Crossrefs

Programs

Scheme