

A064806


a(n) = n + digital root of n.


7



2, 4, 6, 8, 10, 12, 14, 16, 18, 11, 13, 15, 17, 19, 21, 23, 25, 27, 20, 22, 24, 26, 28, 30, 32, 34, 36, 29, 31, 33, 35, 37, 39, 41, 43, 45, 38, 40, 42, 44, 46, 48, 50, 52, 54, 47, 49, 51, 53, 55, 57, 59, 61, 63, 56, 58, 60, 62, 64, 66, 68, 70, 72, 65, 67, 69, 71
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OFFSET

1,1


LINKS

Harry J. Smith, Table of n, a(n) for n=1..1000
Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,1,1).
Index entries for Colombian or self numbers and related sequences


FORMULA

a(n) = n + A010888(n).
G.f.: x*(9*x^92*x^82*x^72*x^62*x^52*x^42*x^32*x^22*x2) / ((x1)^2*(x^2+x+1)*(x^6+x^3+1)).  Colin Barker, Apr 05 2013


MAPLE

A064806 := proc(n) return n+1 + ((n1) mod 9): end: seq(A064806(n), n=1..100); # Nathaniel Johnston, May 04 2011


PROG

(PARI) { for (n=1, 1000, write("b064806.txt", n, " ", n + (n  1)%9 + 1) ) } \\ Harry J. Smith, Sep 26 2009
(Haskell)
a064806 n = n + a010888 n  Reinhard Zumkeller, Apr 13 2013


CROSSREFS

Cf. A010888 (digital root of n), A062028 (sum of digits of n).
Sequence in context: A182324 A095815 A063114 * A062028 A262223 A070196
Adjacent sequences: A064803 A064804 A064805 * A064807 A064808 A064809


KEYWORD

nonn,easy,base


AUTHOR

Reinhard Zumkeller, Oct 21 2001


STATUS

approved



