A014796 -id:A014796 - cp's OEIS frontend

A003841 Order of universal Chevalley group D_2(q), q = prime power.

36, 576, 3600, 14400, 112896, 254016, 518400, 1742400, 4769856, 16646400, 23970816, 46785600, 147476736, 243360000, 386358336, 593409600, 885657600, 1071645696, 2561979456, 4744454400, 6314527296

Offset: 1

N. J. A. Sloane

Numbers given so far divided by 36 (except the first) are all members of A014796. - Ralf Stephan, Feb 07 2004

Is a(n) = A007531( A000961(n)+1 )^2? - Ralf Stephan, Feb 08 2004 [Answer: Yes. This is equivalent to the first formula below. - Amiram Eldar, Jun 24 2025]

J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites], p. xvi.
H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.

Index entries for sequences related to groups.

Cf. A000961, A003801, A003830, A003843, A003844, A003845, A003846, A003847, A007531, A014796.

d[q_, n_] := q^(n*(n-1)) * (q^n-1) * Product[q^(2*k) - 1, {k, 1, n-1}]; Table[d[q, 2], {q, Select[Range[50], PrimePowerQ]}] (* Amiram Eldar, Jun 24 2025 *)

a(n) = D(A000961(n+1),2) where D(q,n) is defined in A003830. - Sean A. Irvine, Sep 17 2015

A014795 Squares of odd tetrahedral numbers.

Original entry on oeis.org

1, 1225, 27225, 207025, 938961, 3136441, 8555625, 20205025, 42837025, 83521321, 152300281, 262926225, 433680625, 688275225, 1056835081, 1576963521, 2294889025, 3266694025, 4559625625, 6253488241, 8442118161, 11234940025, 14758605225, 19158712225, 24601608801

Offset: 0

Mohammad K. Azarian

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

Cf. A000292, A015219, A014796.

Table[((4*n+1)*(4*n+2)*(4*n+3)/6)^2, {n, 0, 40}] (* Amiram Eldar, Mar 07 2022 *)

From Amiram Eldar, Mar 07 2022: (Start)
a(n) = A015219(n)^2 = ((4*n+1)*(4*n+2)*(4*n+3)/6)^2.
Sum_{n>=0} 1/a(n) = 9*Pi*(Pi-3)/4. (End)

More terms from Erich Friedman

More terms from Amiram Eldar, Mar 07 2022

cp's OEIS Frontend

A003841 Order of universal Chevalley group D_2(q), q = prime power.

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