A269314 Numbers x that are the sum of the digits of k consecutive numbers starting from x+1.

15, 24, 30, 39, 48, 57, 66, 75, 84, 93, 96, 99, 108, 138, 147, 189, 198, 207, 228, 249, 258, 288, 309, 321, 351, 372, 378, 402, 414, 456, 465, 507, 600, 612, 633, 645, 705, 801, 813, 930, 1902, 1911, 1962, 1992, 2010, 2013, 2028, 2037, 2052, 2076, 2085, 2100, 2103

Offset: 1

Author

Paolo P. Lava, Feb 25 2016

Keywords

• nonn
• base
• easy

Comments

All terms are multiples of 3.

Examples

			15 = 1+6 + 1+7;
24 = 2+5 + 2+6 + 2+7;
30 = 3+1 + 3+2 + 3+3 + 3+4 + 3+5.
		

Links

• Paolo P. Lava, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A269315.

Programs

Maple

P:= proc(q) local a,b,c,k,n; for n from 1 to q do a:=0; b:=0;
while a
				

Mathematica

Select[Range[2100], (x = # + 1; s = Total[IntegerDigits[x]]; While[s < #, x++; s += Total[IntegerDigits[x]]]; s == #) &] (* Robert Price, May 22 2019 *)