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Search: id:A104891
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| A104891 |
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a(0) = 0; a(n) = 5*a(n-1) + 5. |
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1
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| 0, 5, 30, 155, 780, 3905, 19530, 97655, 488280, 2441405, 12207030, 61035155, 305175780, 1525878905, 7629394530, 38146972655, 190734863280, 953674316405, 4768371582030
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Conjectured to be the number of integers from 0 to (10^n)-1 that lack 0, 1, 2, 3 and 4 as a digit.
Number of monic irreducible polynomials of degree 1 in GF(5)[x1,...,xn]. - Max Alekseyev (maxal(AT)cs.ucsd.edu), Jan 23 2006
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FORMULA
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a(n) = (5^(n+1) - 5) / 4 - Max Alekseyev (maxal(AT)cs.ucsd.edu), Jan 23 2006
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EXAMPLE
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a(3) = 5*a(2) + 5 = 5*30 + 5 = 155.
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MAPLE
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a:=n->sum (5^j, j=1..n): seq(a(n), n=0..18); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 27 2007
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CROSSREFS
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Cf. A052386, A052379, A080674, A029858, A000918, A000225.
Sequence in context: A054612 A080951 A055298 this_sequence A110155 A122995 A003731
Adjacent sequences: A104888 A104889 A104890 this_sequence A104892 A104893 A104894
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KEYWORD
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base,easy,nonn
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AUTHOR
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Alexandre Wajnberg (alexandre.wajnberg(AT)ulb.ac.be), Apr 24 2005
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