A083824 - OEIS

A083824

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

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

Table of n, a(n) for n=0..73.

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

Cf. A083822 (analog for 3), A083823, A083825.

Sequence in context: A030076 A269667 A171816 * A087029 A104348 A251984

Adjacent sequences: A083821 A083822 A083823 * A083825 A083826 A083827

KEYWORD

base,easy,nonn

AUTHOR

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

EXTENSIONS

Edited, corrected and extended by Klaus Brockhaus, May 11 2003

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

STATUS

approved