A112638 Power each digit individually according to its position and add the numbers.

2, 4, 16, 46, 196, 946, 8296, 65246, 385596, 1568346, 3925096, 17165846, 59491596, 333414346, 1000627096, 1003689846, 1013327596, 1019992346, 1099915096, 1899135846, 8291221596, 65211444346, 385412777096, 1566619439846, 3899692777596

Offset

1,1

Comments

As the sequence tends to infinity the value of the least significant digit is always 6. The next digit is 4 or 9.

Links

Table of n, a(n) for n=1..25.

Example

a(1) = 2.
a(2) = 2^2 = 4.
a(3) = 4^2 = 16.
a(4) = 1^2 *10 + 6^2 = 10 + 36 = 46.
a(5) = 4^2 *10 + 6^2 = 160 + 36 = 196.
a(6) = 1^2 *100 + 9^2 *10 + 6^2 = 100 + 810 +36 = 946.

Prog

(PARI) modN(n) = { local(resul, nshif, d) ; nshif = n; d = 0 ; resul = 0 ; while(nshif > 0, resul += 10^d* ((nshif % 10)^2) ; d++ ; nshif = floor(nshif/10) ; ) ; return(resul) ; }
{ an=2 ; print(an, ", ") ; for (n = 2, 30, an=modN(an) ; print(an, ", ") ; ) } \\ R. J. Mathar, Mar 15 2006

Crossrefs

Sequence in context: A148279 A101061 A148280 * A077162 A128903 A103435

Adjacent sequences: A112635 A112636 A112637 * A112639 A112640 A112641

Keyword

nonn,base

Author

Jorge Coveiro, Dec 27 2005

Extensions

More terms from R. J. Mathar, Mar 15 2006

Status

approved