1,2

Number of 5-dimensional cage assemblies.

See Chap. 61, "Hyperspace Prisons", of C. Pickover's book "Wonders of Numbers" for full explanation of "cage numbers."

C. Pickover, Wonders of Numbers, Oxford University Press, 2001, p. 325.

Harry J. Smith, Table of n, a(n) for n=1,...,1000

C. A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind and Meaning," Zentralblatt review

L(n) = ((n^m)(n + 1)^m)/(2^m) where m is the dimension.

for n from 1 to 100 do printf(`%d, `, ((n^5)*(n + 1)^5)/(2^5) ) od:

with (combinat):seq(mul(stirling2(n+1, n), k=1..5), n=1..21); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 14 2007

m = 5; Table[ ( (n^m)(n + 1)^m )/(2^m), {n, 1, 26} ]

(PARI) { for (n=1, 1000, write("b059860.txt", n, " ", (n*(n + 1)/2)^5); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 29 2009]

Cf. A059827.

Sequence in context: A133550 A029700 A016769 this_sequence A016841 A128833 A016889

Adjacent sequences: A059857 A059858 A059859 this_sequence A059861 A059862 A059863

easy,nonn

Jason Earls (zevi_35711(AT)yahoo.com), Feb 28 2001

More terms from James A. Sellers (sellersj(AT)math.psu.edu), Feb 28 2001

Better definition from Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 23 2006

Corrected the definition from binomial(n+2,2)^5 to binomial(n+1,2)^5 Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 29 2009