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 A049400 Partial sums of rows of A047884. Young Tableaux by height. 4
 1, 1, 2, 1, 3, 4, 1, 6, 9, 10, 1, 10, 21, 25, 26, 1, 20, 51, 70, 75, 76, 1, 35, 127, 196, 225, 231, 232, 1, 70, 323, 588, 715, 756, 763, 764, 1, 126, 835, 1764, 2347, 2556, 2611, 2619, 2620, 1, 252, 2188, 5544, 7990, 9096, 9415, 9486, 9495, 9496, 1, 462, 5798, 17424, 27908, 33231, 35135, 35596 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Seiichi Manyama, Rows n = 1..70, flattened (first 44 rows from Alois P. Heinz) EXAMPLE 1; 1,  2; 1,  3,   4; 1,  6,   9,  10; 1, 10,  21,  25,  26; 1, 20,  51,  70,  75,  76; 1, 35, 127, 196, 225, 231, 232; 1, 70, 323, 588, 715, 756, 763, 764; MAPLE h:= proc(l) local n; n:=nops(l); add(i, i=l)! /mul(mul(1+l[i]-j+       add(`if`(l[k]>=j, 1, 0), k=i+1..n), j=1..l[i]), i=1..n)     end: g:= proc(n, i, l) option remember;       `if`(n=0, h(l), `if`(i<1, 0, `if`(i=1, h([l[], 1\$n]), g(n, i-1, l)+       `if`(i>n, 0, g(n-i, i, [l[], i])))))     end: T:= (n, k)-> g(n, k, []): seq(seq(T(n, k), k=1..n), n=1..12); # Alois P. Heinz, Apr 16 2012 MATHEMATICA Accumulate /@ Table[ Plus @@ NumberOfTableaux /@ Reverse /@ Union[ Sort /@ (Compositions[n - m, m] + 1)], {n, 1, 12}, {m, 1, n}] // Flatten (* Jean-François Alcover, Jan 29 2013, after Mathematica program for A047884 *) CROSSREFS Cf. A000085, A007579, A007578, A007580, A049401, A293128. Sequence in context: A154929 A249042 A262472 * A283524 A106382 A229287 Adjacent sequences:  A049397 A049398 A049399 * A049401 A049402 A049403 KEYWORD easy,nice,nonn,tabl AUTHOR STATUS approved

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Last modified January 20 12:47 EST 2019. Contains 319330 sequences. (Running on oeis4.)