0,2

Number of 4-dimensional cage assemblies.

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

Clifford Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind and Meaning," Oxford University Press, 2001, p. 325.

Harry J. Smith, Table of n, a(n) for n=0,...,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, which in this case is 4.

O.g.f.: -(1+72*x+603*x^2+1168*x^3+603*x^4+72*x^5+x^6)/(-1+x)^9. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 31 2008

with (combinat):seq(mul(stirling2(n+1, n), k=1..4), n=1..24); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 16 2007

m = 4; Table[ ( (n^m)(n + 1)^m )/(2^m), {n, 1, 30} ]

(Other) SAGE:[stirling_number2(n+1, n)^4for n in xrange(1, 25)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 14 2009]

(PARI) { for (n=0, 1000, write("b059977.txt", n, " ", ((n + 1)*(n + 2)/2)^4); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 30 2009]

Cf. A059827, A059860.

Sequence in context: A086580 A124113 A016768 this_sequence A116205 A110921 A096302

Adjacent sequences: A059974 A059975 A059976 this_sequence A059978 A059979 A059980

nonn

Robert G. Wilson v (rgwv(AT)rgwv.com), Mar 06 2001

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

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 31 2008