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A032444 a(1) = 1, a(2) = 16, a(n) = LCM(48, 2n^2) for n>2. 0
1, 16, 144, 96, 1200, 144, 2352, 384, 1296, 1200, 5808, 288, 8112, 2352, 3600, 1536, 13872, 1296, 17328, 2400, 7056, 5808, 25392, 1152, 30000, 8112, 11664, 4704, 40368, 3600, 46128, 6144, 17424, 13872 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

In the M. Reid reference the following is proved: Let S(n) be the set of all groups whose order is a product of primes congruent to 1 mod n. Then, a(n) = gcd{|G| - |cc(G)| : G in S(n)}, where |cc(G)| is the number of conjugacy classes of G. - Eric M. Schmidt, Apr 18 2013

REFERENCES

M. Reid, The number of conjugacy classes, Amer. Math. Monthly, 105 (1998), 359-361.

LINKS

Table of n, a(n) for n=1..34.

Index to divisibility sequences

Index to sequences with linear recurrences with constant coefficients, order 39.

FORMULA

a(n) = 3a(n-12) - 3a(n-24) + a(n-36) for n > 38. - Charles R Greathouse IV, Apr 18 2013

PROG

(MAGMA) [1, 16] cat [ LCM(48, 2*n^2) : n in [3..10] ]; - from Sergei Haller (sergei(AT)sergei-haller.de), Dec 21 2006

(PARI) a(n)=if(n>3, lcm(48, 2*n^2), 15*n-14) \\ Charles R Greathouse IV, Apr 18 2013

CROSSREFS

Sequence in context: A232311 A048533 A213349 * A017114 A092820 A060300

Adjacent sequences:  A032441 A032442 A032443 * A032445 A032446 A032447

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Definition rewritten by Eric M. Schmidt, Apr 18 2013

STATUS

approved

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Last modified April 24 01:01 EDT 2014. Contains 240947 sequences.