A077755 Array in which the n-th row contains the multiples of n using nonzero digits and having a digit sum of n. Sequence contains the rows and a zero entry for rows with no terms (e.g. 10).

1, 2, 3, 12, 21, 111, 4, 112, 5, 6, 24, 42, 114, 132, 222, 312, 1122, 1212, 2112, 11112, 7, 133, 322, 511, 1141, 2212, 11221, 13111, 21112, 8, 152, 224, 512, 1232, 2312, 4112, 11312, 13112, 22112, 31112, 112112, 121112, 211112, 1111112

Offset

1,2

Links

Table of n, a(n) for n=1..44.

Example

Array starts with:
1;
2;
3, 12, 21, 111;
4, 112;
5;
6, 24, 42, 114, 132, 222, 312, 1122, 1212, 2112, 11112;
7, 133, 322, 511, 1141, 2212, 11221, 13111, 21112;
8, 152, 224, 512, 1232, 2312, 4112, 11312, 13112, 22112, 31112, 112112, 121112, 211112, 1111112;

Crossrefs

Cf. A075397 (lengths of rows)

Sequence in context: A124261 A018883 A066730 * A061268 A122604 A282234

Adjacent sequences: A077752 A077753 A077754 * A077756 A077757 A077758

Keyword

base,nonn,tabf

Author

Amarnath Murthy, Nov 21 2002

Extensions

Corrected and extended by Max Alekseyev, Feb 22 2012

Status

approved