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 A210964 Column 10 of square array A195825. Also column 1 of triangle A210954. Also 1 together with the row sums of triangle A210954 16
 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 7, 10, 12, 13, 13, 13, 13, 13, 13, 13, 14, 16, 21, 27, 32, 34, 35, 35, 35, 35, 35, 36, 38, 44, 54, 67, 77, 83, 85, 86, 86, 86, 87, 89, 95, 107, 128, 152, 173, 185, 191, 193, 194, 195 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,12 COMMENTS Note that this sequence contains five plateaus: [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [4, 4, 4, 4, 4, 4, 4, 4, 4], [13, 13, 13, 13, 13, 13, 13], [35, 35, 35, 35, 35], [86, 86, 86]. For more information see A210843 and other sequences of this family. - Omar E. Pol, Jun 29 2012 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..10000 (terms 0..3000 from Vaclav Kotesovec) Vaclav Kotesovec, Graph - The asymptotic ratio Eric Weisstein's World of Mathematics, Ramanujan Theta Functions FORMULA Expansion of 1 / f(-x, -x^11) in powers of x where f() is a Ramanujan theta function. - Michael Somos, Jan 10 2015 Partitions of n into parts of the form 12*k, 12*k+1, 12*k+11. - Michael Somos, Jan 10 2015 Euler transform of period 12 sequence [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, ...]. - Michael Somos, Jan 10 2015 G.f.: Product_{k>0} 1 / ((1 - x^(12*k)) * (1 - x^(12*k - 1)) * (1 - x^(12*k - 11))). Convolution inverse of A247133. a(n) ~ sqrt(2)*(1+sqrt(3)) * exp(Pi*sqrt(n/6)) / (8*n). - Vaclav Kotesovec, Nov 08 2015 a(n) = (1/n)*Sum_{k=1..n} A284372(k)*a(n-k), a(0) = 1. - Seiichi Manyama, Mar 25 2017 MATHEMATICA nmax = 100; CoefficientList[Series[Product[1 / ((1 - x^(12*k)) * (1 - x^(12*k-1)) * (1 - x^(12*k-11))), {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Nov 08 2015 *) PROG (GWbasic)' A program with two A-numbers: 10 Dim A195818(100), A057077(100), a(100): a(0)=1 20 For n = 1 to 67: For j = 1 to n 30 If A195818(j) <= n then a(n) = a(n) + A057077(j-1)*a(n - A195818(j)) 40 Next j: Print a(n-1); : Next n 50 End CROSSREFS Cf. A000041, A006950, A036820, A057077, A195818, A195825, A195848, A195849, A195850, A195851, A195852, A196933, A210944, A210954, A211970, A211971. Cf. A247133. Sequence in context: A158411 A065680 A093391 * A029135 A196933 A102678 Adjacent sequences:  A210961 A210962 A210963 * A210965 A210966 A210967 KEYWORD nonn AUTHOR Omar E. Pol, Jun 16 2012 STATUS approved

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Last modified February 20 14:32 EST 2020. Contains 332078 sequences. (Running on oeis4.)