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A137841
Number of distinct n-ary operators in a quinternary logic.
2
5, 3125, 298023223876953125, 2350988701644575015937473074444491355637331113544175043017503412556834518909454345703125
OFFSET
0,1
COMMENTS
The total number of n-ary operators in a k-valued logic is T = k^(k^n), i.e. if S is a set of k elements, there are T ways of mapping an ordered subset of n elements taken from S to an element of S. Some operators are "degenerate": the operator has arity p, if only p of the n input values influence the output. = therefore the set of operators can be partitioned into n+1 disjoint subsets representing arities from 0 to n.
FORMULA
a(n) = 5^(5^n).
CROSSREFS
Cf. A001146 (in binary logic), A055777 (in ternary logic), A137840 (in quaternary logic).
Subsequence of A000351.
Sequence in context: A171980 A347607 A013782 * A204940 A172954 A079173
KEYWORD
easy,nonn
AUTHOR
Ross Drewe, Feb 13 2008
STATUS
approved