

A083824


a(n) = digit reversal of 9*n, divided by 9.


6



0, 1, 9, 8, 7, 6, 5, 4, 3, 2, 1, 11, 89, 79, 69, 59, 49, 39, 29, 19, 9, 109, 99, 78, 68, 58, 48, 38, 28, 18, 8, 108, 98, 88, 67, 57, 47, 37, 27, 17, 7, 107, 97, 87, 77, 56, 46, 36, 26, 16, 6, 106, 96, 86, 76, 66, 45, 35, 25, 15, 5, 105, 95, 85, 75, 65, 55, 34, 24, 14, 4, 104, 94, 84
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OFFSET

0,3


COMMENTS

If n is a multiple of 10, then a(n) = a(n/10); if n is not a multiple of 10, then a(a(n)) = n.


LINKS



EXAMPLE

a(2) = reverse(9*2)/9 = reverse(18)/9 = 81/9 = 9.


PROG

(PARI) {for(n=0, 73, k=9*n; rev=0; while(k>0, d=divrem(k, 10); k=d[1]; rev=10*rev+d[2]); print1(rev/9, ", "))}
(PARI) apply( {A083824(n)=fromdigits(Vecrev(digits(9*n)))/9}, [0..99]) \\ M. F. Hasler, May 21 2021


CROSSREFS



KEYWORD

base,easy,nonn


AUTHOR

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), May 08 2003


EXTENSIONS

Minor edits and extension to offset 0 by M. F. Hasler, May 21 2021


STATUS

approved



