OFFSET
0,3
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..1000
Pierpaolo Natalini, Paolo Emilio Ricci, New Bell-Sheffer Polynomial Sets, Axioms 2018, 7(4), 71.
Wikipedia, Partition of a set
Index entries for linear recurrences with constant coefficients, signature (5,-4,-1,-7,7,0,1,-1).
FORMULA
EXAMPLE
a(6) = 188 = 203 - 15 = A000110(6) - 15 counts all set partitions of [6] except: 16|2345, 16|234|5, 16|235|4, 16|23|45, 16|23|4|5, 16|245|3, 16|24|35, 16|24|3|5, 16|25|34, 16|2|345, 16|2|34|5, 16|25|3|4, 16|2|35|4, 16|2|3|45, 16|2|3|4|5.
MATHEMATICA
LinearRecurrence[{5, -4, -1, -7, 7, 0, 1, -1}, {1, 1, 2, 5, 15, 52, 188, 696}, 30] (* Harvey P. Dale, Jan 02 2021 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, May 22 2017
STATUS
approved