A082259 Triangle read by rows in which the n-th row contains n multiples of n with digit sum n.

1, 2, 20, 3, 12, 21, 4, 40, 112, 220, 5, 50, 140, 230, 320, 6, 24, 42, 60, 114, 132, 7, 70, 133, 322, 511, 700, 1015, 8, 80, 152, 224, 440, 512, 800, 1016, 9, 18, 27, 36, 45, 54, 63, 72, 81, 190, 280, 370, 460, 550, 640, 730, 820, 910, 1090, 209, 308, 407, 506, 605, 704, 803, 902, 2090, 3080, 4070

Offset: 1

Author

Amarnath Murthy, Apr 12 2003

Keywords

• base
• nonn
• tabl
• look

Examples

			Triangle begins:
1
2, 20;
3, 12,  21;
4, 40, 112, 220;
5, 50, 140, 230, 320;
6, 24,  42,  60, 114, 132;
7, 70, 133, 322, 511, 700, 1015;
8, 80, 152, 224, 440, 512,  800, 1016;
9, 18,  27,  36,  45,  54,   63,   72,  81;
		

Links

• Alois P. Heinz, Rows n = 1..100, flattened

Crossrefs

Cf. A082260, A082261, A082262, A082263, A002998.

Programs

Mathematica

Table[Take[Select[n Range[10000],Total[IntegerDigits[#]]==n&],n],{n,20}] // Flatten (* Harvey P. Dale, Sep 16 2019 *)

Extensions

Corrected by Anne Donovan, May 29 2003

Corrected and extended by David Wasserman, Aug 26 2004