A133602 The matrix-vector product A133080 * A000108.
1, 2, 2, 7, 14, 56, 132, 561, 1430, 6292, 16796, 75582, 208012, 950912, 2674440, 12369285, 35357670, 165002460, 477638700, 2244901890, 6564120420, 31030387440, 91482563640, 434542177290, 1289904147324, 6151850548776
Offset: 0
Examples
a(4) = C(4) = 14. a(5) = 56 = C(5) + C(4) = 42 + 14.
Programs
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Python
from sympy import catalan def a005807(n): return catalan(n) + catalan(n + 1) def a048990(n): return catalan(2*n) l=[1, 2] for n in range(2, 31): l+=[a048990(n//2) if n%2==0 else a005807(n - 1)] print(l) # Indranil Ghosh, Jul 15 2017
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