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A076313 floor(n/10) - n mod 10. 8
0, -1, -2, -3, -4, -5, -6, -7, -8, -9, 1, 0, -1, -2, -3, -4, -5, -6, -7, -8, 2, 1, 0, -1, -2, -3, -4, -5, -6, -7, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, 6, 5, 4, 3, 2, 1, 0, -1, -2, -3, 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, 8, 7, 6, 5, 4 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

For n<100 equal to the negated alternating digital sum of n (see A055017). - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 17 2007

LINKS

Index to sequences with linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,0,1,-1).

FORMULA

a(n)=11*floor(n/10)-n. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 17 2007

a(n)=(n-11*(n mod 10))/10. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 17 2007

a(n)=11*A002266(A004526(n))-n=11*A004526(A002266(n))-n. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 17 2007

a(n)=(n-11*A010879(n))/10. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 17 2007

a(n)=(n-11*A000035(n)-22*A010874(A004526(n)))/10. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 17 2007

a(n)=(n-11*A010874(n)-55*A000035(A002266(n)))/10. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 17 2007

G.f. g(x)=x(-8x^10+11x^9-1)/((1-x^10)(1-x)^2). - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 17 2007

PROG

(PARI) a(n)=n\10-n%10 \\ Charles R Greathouse IV, Jan 30 2012

CROSSREFS

Cf. A076314, A010879, A076309, A076310, A076311, A076312, A055017, A076314, A007953, A003132.

Sequence in context: A007376 A189823 A001073 * A055017 A040997 A177894

Adjacent sequences:  A076310 A076311 A076312 * A076314 A076315 A076316

KEYWORD

sign,easy

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 06 2002

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Last modified February 17 09:41 EST 2012. Contains 206009 sequences.