A041000 If decimal expansion of n-th prime is x1 x2 ... xk, sort the xi into nonincreasing order, y1 y2 ... yk; then a(n) = |y1-y2-y3...-yk|.

2, 3, 5, 7, 0, 2, 6, 8, 1, 7, 2, 4, 3, 1, 3, 2, 4, 5, 1, 6, 4, 2, 5, 1, 2, 0, 2, 6, 8, 1, 4, 1, 3, 5, 4, 3, 1, 2, 0, 3, 1, 6, 7, 5, 1, 1, 0, 1, 3, 5, 2, 4, 1, 2, 0, 1, 1, 4, 2, 5, 3, 4, 4, 1, 1, 3, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 3, 5, 4, 1, 0, 2, 2, 3, 1, 2, 1, 1, 3, 2, 3, 4, 4, 2, 4, 2, 0, 0, 2, 3, 2, 2, 1, 5

Offset: 1

Author

Felice Russo

Keywords

• easy
• nonn
• base

Examples

			a(397)=|9-7-3|=1.
		

Crossrefs

Cf. A040164, A007953, A054055.

Programs

Mathematica

der[n_]:=Module[{c=Reverse[Sort[IntegerDigits[n]]]},Abs[First[c]-Total[Rest[c]]]]; der/@Prime[Range[110]] (* Harvey P. Dale, Aug 15 2012 *)

Formula

a(n) = |A007953(n)-2*A054055(n)|. [Charles R Greathouse IV, May 07 2011]

Extensions

More terms from Michel ten Voorde