Search: id:A113632
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%I A113632
%S A113632 1,55,9217,280483,3378745,23803711,118513705,462945547,1512003793,
%T A113632 4303999495,10987654321,25678050355,55776799177,113924725903,
%U A113632 220792014745,408951042331,728121033505,1252121211607,2087920281313
%N A113632 1 + 2*n + 3*n^2 + 4*n^3 + 5*n^4 + 6*n^5 + 7*n^6 + 8*n^7 + 9*n^8 + 10*n^9.
%C A113632 1 + 2x + 3x^2 + 4x^3 + 5x^4 + 6x^5 + 7*x^6 + 8*x^7 + 9*x^8 + 10*x^9 is 
               the derivative of 1 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 
               + x^9 + x^10 = (x^11 - 1)/(x-1).
%F A113632 a(n) = 1 + 2*n + 3*n^2 + 4*n^3 + 5*n^4 + 6*n^5 + 7*n^6 + 8*n^7 + 9*n^8 
               + 10*n^9.
%e A113632 a(5) = 1 + 2*5 + 3*5^2 + 4*5^3 + 5*5^4 + 6*5^5 + 7*5^6 + 8*5^7 + 9*5^8 
               + 10*5^9 = 23803711 is prime.
%e A113632 a(30) = 1 + 2*30 + 3*30^2 + 4*30^3 + 5*30^4 + 6*30^5 + 7*30^6 + 8*30^7 
               + 9*30^8 + 10*30^9 = 202915112960761 is prime.
%Y A113632 Cf. A000012, A005408, A056109, A056578, A056579.
%Y A113632 Sequence in context: A090813 A145617 A105842 this_sequence A163036 A033512 
               A027580
%Y A113632 Adjacent sequences: A113629 A113630 A113631 this_sequence A113633 A113634 
               A113635
%K A113632 easy,nonn
%O A113632 0,2
%A A113632 Jonathan Vos Post (jvospost3(AT)gmail.com), Jan 14 2006

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