A073975 Number of strings of length n over Z_6 with trace 0 and subtrace 4.

0, 0, 0, 12, 180, 1440, 9072, 54432, 308448, 1700352, 9722592, 58335552, 356638464, 2173796352, 13144674816, 78940272384, 472093588224, 2821539889152, 16894457846784, 101366747080704, 608795590588416, 3656220357427200, 21947538146863104, 131685228881178624

Offset

1,4

Links

Table of n, a(n) for n=1..24.

Max Alekseyev, PARI/GP scripts for miscellaneous math problems

F. Ruskey Strings over Z_6 with given trace and subtrace

Formula

a(n; t, s) = a(n-1; t, s) + a(n-1; t+5, s+5t+1) + a(n-1; t+4, s+4t+4) + a(n-1; t+3, s+3t+3) + a(n-1; t+2, s+2t+2) + a(n-1; t+1, s+t+1) where t is the trace and s is the subtrace.

Crossrefs

Cf. A073971, A073972, A073973, A073974, A073976, A073977, A073978, A073979, A073980, A073981, A073982, A073983, A073984, A073985, A073986, A073987, A073988, A073989, A073990, A073991, A073992, A073993, A073994.

Sequence in context: A363152 A350541 A130550 * A069685 A000515 A241710

Adjacent sequences: A073972 A073973 A073974 * A073976 A073977 A073978

Keyword

easy,nonn

Author

Frank Ruskey and Nate Kube, Aug 16 2002

Extensions

Terms a(11) onward from Max Alekseyev, Apr 09 2013

Status

approved