0,3

P. Blasiak, K. A. Penson and A. I. Solomon, The general boson normal ordering problem, Phys. Lett. A 309 (2003) 198-205.

M. Schork, On the combinatorics of normal ordering bosonic operators and deforming it, J. Phys. A 36 (2003) 4651-4665.

P. Blasiak, K. A. Penson and A. I. Solomon, The general boson normal ordering problem.

a(n)=sum( A090216(n, k), k=5..5*n), n>=1. a(0) := 1.

a(n)= sum((fallfac(k, 5)^n)/k!, k=5..infinity)/exp(1), n>=1, a(0) := 1. From eq.(26) with r=5 of the Schork reference.

E.g.f. with a(0) := 1: (sum((exp(fallfac(k, 5)*x))/k!, k=5..infinity)+ A000522(4)/4!)/exp(1). From the top of p. 4656 with r=5 of the Schork reference.

Cf. A000110, A020556, A069223, A071379 (Bell numbers from (l, l)- Sterling2 cases l=1..4). Triangle A090210.

Sequence in context: A137598 A133560 A038009 this_sequence A157347 A020408 A022222

Adjacent sequences: A090206 A090207 A090208 this_sequence A090210 A090211 A090212

nonn,easy

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Dec 01 2003