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A076314
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Floor(n/10) + (n mod 10).
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9
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 8, 9, 10, 11, 12, 13, 14
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| For n<100 this is equal to the digital sum of n (see A007953). - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 17 2007
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,0,1,-1).
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FORMULA
| a(n)=n-9*floor(n/10). - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 17 2007
a(n)=(n+9*(n mod 10))/10. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 17 2007
a(n)=n-9*A002266(A004526(n))=n-9*A004526(A002266(n)). - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 17 2007
a(n)=(n+9*A010879(n))/10. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 17 2007
a(n)=(n+9*A000035(n)+18*A010874(A004526(n)))/10. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 17 2007
a(n)=(n+9*A010874(n)+45*A000035(A002266(n)))/10. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 17 2007
G.f. g(x)=x(8x^10-9x^9+1)/((1-x^10)(1-x)^2). - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 17 2007
a(n) = A033930(n), 1<=n<100. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 21 2008]
a(n)= +a(n-1) +a(n-10) -a(n-11). - R. J. Mathar, Feb 20 2011
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CROSSREFS
| Cf. A076313, A010879, A076309, A076310, A076311, A076312, A055017, A076313, A007953, A003132.
Sequence in context: A177274 A131650 A033930 * A007953 A080463 A114570
Adjacent sequences: A076311 A076312 A076313 * A076315 A076316 A076317
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KEYWORD
| nonn,easy
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 06 2002
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