A226327 Sum of digits of n equals sum of digits of its antisigma (A024816).

24, 46, 69, 78, 145, 147, 169, 177, 186, 198, 451, 459, 460, 474, 478, 495, 568, 586, 588, 618, 639, 667, 685, 738, 801, 838, 864, 865, 987, 1194, 1198, 1485, 1486, 1495, 1558, 1566, 1639, 1698, 1738, 1878, 1954, 1959, 2295, 2458, 2494, 2538, 2584, 2655, 2656

Offset: 1

Author

Paolo P. Lava, Jun 04 2013

Keywords

• nonn
• base

Examples

			For 2584 we have antisigma(2584) = 2584*(2584 + 1)/2 - sigma(2584) = 3334420 and 2 + 5 + 8 + 4 = 3 + 3 + 3 + 4 + 4 + 2 + 0 = 19.
		

Links

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

Crossrefs

Cf. A024816, A067343.

Programs

Maple

with(numtheory); SA:=proc(t) global v,z; v:=0; z:=t;
while z>0 do v:=v+(z mod 10); z:=trunc(z/10); od; v; end:
A226327:=proc(q) local n; for n from 1 to q do
if SA(n)=SA(n*(n+1)/2-sigma(n)) then print(n);
fi; od; end: A226327(10^4);