A175357 Irregular array: Row n contains the run-lengths (of runs of both 0's and 1's) of the binary representation of A175356(n).

1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 3, 2, 1, 3, 2, 2, 3, 3, 1, 3, 3, 3, 2, 2, 1, 3, 3, 2, 2, 3, 1, 3, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 1, 2, 3, 3, 3, 2, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 2, 2, 3, 1, 2, 3

Offset: 1

Author

Leroy Quet, Apr 22 2010

Keywords

• base
• nonn
• tabf

Comments

This array orders the distinct permutations each of one 1, two 2's, three 3's..., m number of m's, for a positive integer m.

The number of terms per row is nondecreasing. There are exactly (m(m+1)/2)!/product{k=1 to m}k! rows in the sequence each of m(m+1)/2 terms, for all m >= 1, and none of any other number of terms.

Examples

			8984, the fifth term of A175356, is 10001100011000 in binary. There is a run of one 1, followed by a run of three 0's, followed by a run of two 1's, followed by a run of three 0's, followed by a run of two 1's, followed finally by a run of three 0's. So, row 5 is 1,3,2,3,2,3.
		

Links

• Rémy Sigrist, PARI program for A175357

Crossrefs

Cf. A175356, A022915.

Programs

PARI

See Links section.

Extensions

Example changed and tabf keyword added by Leroy Quet, Apr 27 2010

More terms from Rémy Sigrist, Feb 06 2019