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A178161
Number of n-digit Type-2 Trott-like Constants (see A178160 for definition).
1
9, 63, 296, 693, 4117, 14071, 79586, 232069, 1356627, 4222935, 24394044, 73910079, 429075206, 1314629842
OFFSET
1,1
COMMENTS
The values given as a(4), a(8), and a(11) each include exactly one type-2 Trott-like constant that cannot be extended to additional digits (see A178164). All the rest, including every constant counted in each of the other terms, can be extended by an arbitrary number of additional digits.
EXAMPLE
There are 63 type-2 Trott-like constants that have exactly 2 digits after the decimal point (0.11 ... 0.16, 0.21 ... 0.27, 0.31 ... 0.37, 0.42 ... 0.48, 0.52 ... 0.58, 0.62 ... 0.68, 0.72 ... 0.78, 0.82 ... 0.88, and 0.92 ... 0.99), so a(2) = 63.
CROSSREFS
KEYWORD
base,nonn
AUTHOR
Jon E. Schoenfield, May 21 2010
STATUS
approved