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A062257 Number of (0,1)-strings of length n with no occurrences of the substrings 10101101 and 1110101. 4
1, 2, 4, 8, 16, 32, 64, 127, 251, 496, 981, 1940, 3837, 7590, 15015, 29704, 58763, 116249, 229971, 454942, 899991, 1780410, 3522102, 6967611, 13783703, 27267665, 53942368, 106711708, 211102869, 417615105, 826148769, 1634332138 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
REFERENCES
I. P. Goulden and D. M. Jackson, Combinatorial Enumeration, Wiley, N.Y., 1983, (Example 2.8.11).
LINKS
FORMULA
G.f.: (1+x^5+x^6+x^7-x^9)/(1+x^5-x^6-x^9-2*x-x^8+x^10). a(n) = 2*a(n-1)-a(n-5)+a(n-6)+a(n-8)+a(n-9)-a(n-10).
CROSSREFS
Sequence in context: A008859 A335247 A145113 * A208127 A172316 A062258
KEYWORD
nonn
AUTHOR
Vladeta Jovovic, Jun 14 2001
STATUS
approved

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Last modified June 13 03:07 EDT 2024. Contains 373366 sequences. (Running on oeis4.)