|
Search: id:A007612
|
|
|
| A007612 |
|
a(n+1) = a(n) + digital root (A010888) of a(n).
(Formerly M1114)
|
|
+0
7
|
|
| 1, 2, 4, 8, 16, 23, 28, 29, 31, 35, 43, 50, 55, 56, 58, 62, 70, 77, 82, 83, 85, 89, 97, 104, 109, 110, 112, 116, 124, 131, 136, 137, 139, 143, 151, 158, 163, 164, 166, 170, 178, 185, 190, 191, 193, 197, 205, 212, 217, 218, 220, 224, 232, 239, 244, 245, 247, 251
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
J. Roberts, Lure of the Integers, Math. Assoc. America, 1992, p. 65.
|
|
LINKS
|
T. D. Noe, Table of n, a(n) for n=1..1000
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
|
|
FORMULA
|
a(1) = 1, a(n+1) = a(n) + a(n) mod 9. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 23 2003
First differences are [1,2,4,8,5,7] repeated. - M. F. Hasler, Sep 15 2009
n == 1, 2, 4, 8, 16, or 23 (mod 27). - Dean Hickerson (dean.hickerson(AT)yahoo.com), Mar 25 2003
Lim a(n)/n = 9/2 for n --> oo; A029898(n)=a(n+1)-a(n)=A010888(a(n)). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 27 2006
a(6n+1)=27n+1, a(6n+2)=27n+2, a(6n+3)=27n+4, a(6n+4)=27n+8, a(6n+5)=27n+16, a(6n+6)=27n+23. - Frank Adams-Watters (FrankTAW(AT)Netscape.net), Mar 13 2006
G.f.:(1+4*x^4+3*x^3+x^2)/((x+1)*(x^2-x+1)*(x-1)^2) [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 10 2009]
|
|
CROSSREFS
|
Cf. A004207.
Sequence in context: A161140 A058961 A130917 this_sequence A112395 A004207 A062729
Adjacent sequences: A007609 A007610 A007611 this_sequence A007613 A007614 A007615
|
|
KEYWORD
|
nonn,base,nice
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com), Mira Bernstein (mira(AT)math.berkeley.edu)
|
|
|
Search completed in 0.002 seconds
|
