The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A010880 n mod 11. 12
 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,1). FORMULA Complex representation: a(n)=(1/11)*(1-r^n)*sum{1<=k<11, k*product{1<=m<11,m<>k, (1-r^(n-m))}} where r=exp(2*pi/11*i) and i=sqrt(-1). - Hieronymus Fischer, Sep 30 2007 Trigonometric representation: a(n)=(1024/11)^2*(sin(n*pi/11))^2*sum{1<=k<11, k*product{1<=m<11,m<>k, (sin((n-m)*pi/11))^2}}. - Hieronymus Fischer, Sep 30 2007 G.f.: g(x)=(sum{1<=k<11, k*x^k})/(1-x^11). - Hieronymus Fischer, Sep 30 2007 Also: g(x)=x(10x^11-11x^10+1)/((1-x^11)(1-x)^2). - Hieronymus Fischer, Sep 30 2007 MATHEMATICA PadRight[{}, 80, Range[0, 10]] (* Harvey P. Dale, Nov 13 2012 *) PROG (Sage) [power_mod(n, 11, 11)for n in range(0, 78)] # - Zerinvary Lajos, Nov 07 2009 (PARI) a(n)=n%11 \\ Charles R Greathouse IV, Oct 07 2015 CROSSREFS Partial sums: A130489. Other related sequences A130481, A130482, A130483, A130484, A130485, A130486, A130487, A130488. Sequence in context: A297235 A090175 A275010 * A261424 A097462 A210944 Adjacent sequences:  A010877 A010878 A010879 * A010881 A010882 A010883 KEYWORD nonn,easy AUTHOR EXTENSIONS More terms from Correction. Typo at the sum formula for the g.f.: the summation index should not read "1<=k<10" but "1<=k<11" (see corrected formula). STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified October 20 16:38 EDT 2020. Contains 337905 sequences. (Running on oeis4.)