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Search: id:A162963
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| A162963 |
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a(n) = 5*a(n-2) for n > 2; a(1) = 2, a(2) = 5. |
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+0 5
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| 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250, 15625, 31250, 78125, 156250, 390625, 781250, 1953125, 3906250, 9765625, 19531250, 48828125, 97656250, 244140625, 488281250, 1220703125, 2441406250, 6103515625, 12207031250
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Apparently a(n) = A026383(n) for n >= 1.
Binomial transform is A162770, second binomial transform is A001077 without initial 1, third binomial transform is A162771, fourth binomial transform is A162772, fifth binomial transform is A162773.
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FORMULA
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a(n) = (3-(-1)^n)*5^(1/4*(2*n-1+(-1)^n))/2.
G.f.: x*(2+5*x)/(1-5*x^2).
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PROGRAM
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(MAGMA) [ n le 2 select 3*n-1 else 5*Self(n-2): n in [1..29] ];
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CROSSREFS
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Cf. A000351 (powers of 5), A026383, A001077, A162770, A162771, A162772, A162773.
Sequence in context: A018262 A018356 A026383 this_sequence A002094 A115725 A079572
Adjacent sequences: A162960 A162961 A162962 this_sequence A162964 A162965 A162966
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KEYWORD
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nonn
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jul 19 2009
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