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A052462 a(n) is the solution k to Mod[24k,5^n]==1. 3
4, 24, 99, 599, 2474, 14974, 61849, 374349, 1546224, 9358724, 38655599, 233968099, 966389974, 5849202474, 24159749349, 146230061849, 603993733724, 3655751546224, 15099843343099, 91393788655599, 377496083577474 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Related to a Ramanujan congruence for the partition function P.

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Index to sequences with linear recurrences with constant coefficients, signature (1,25,-25).

FORMULA

G.f.: x(-25x^2+20x+4)/[(1-x)(1-5x)(1+5x)].

a(n) = (1+(21+2*(-1)^n)*5^n)/24  - Bruno Berselli, Apr 04 2011

MATHEMATICA

Table[PowerMod[24, -1, 5^a], {a, 21}]

CROSSREFS

Cf. A052463, A052464, A052466.

Sequence in context: A100738 A139238 A139231 * A048806 A043009 A006736

Adjacent sequences:  A052459 A052460 A052461 * A052463 A052464 A052465

KEYWORD

nonn,easy

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

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Last modified February 17 13:28 EST 2012. Contains 206031 sequences.