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 A109057 To compute a(n) we first write down 5^n 1's in a row. Each row takes the rightmost 5th part of the previous row and each element in it equals sum of the elements of the previous row starting with the first of the rightmost 5th part. The single element in the last row is a(n). 8
 1, 1, 5, 115, 12885, 7173370, 19940684251, 277078842941900, 19249144351745111125, 6686277384080730564862875, 11612516024884420913314995604000, 100841213012622614260440382077516990500, 4378443591626306255827149380635713364079323075 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..54 EXAMPLE For example, for n=3 the array, from 2nd row, follows: 1..2..3.....14..15..16..17..18..19..20..21..22..23..24..25 ........................................21..43..66..90.115 .......................................................115 Therefore a(3)=115. MAPLE proc(n::nonnegint) local f, a; if n=0 or n=1 then return 1; end if; f:=L->[seq(add(L[i], i=4*nops(L)/5+1..j), j=4*nops(L)/5+1..nops(L))]; a:=f([seq(1, j=1..5^n)]); while nops(a)>5 do a:=f(a) end do; a[5]; end proc; CROSSREFS Cf. A107354, A109055, A109056, A109058, A109059, A109060, A109061, A109062. Column k=5 of A355576. Sequence in context: A208959 A209053 A255884 * A245105 A080988 A230338 Adjacent sequences:  A109054 A109055 A109056 * A109058 A109059 A109060 KEYWORD nonn AUTHOR Augustine O. Munagi, Jun 17 2005 EXTENSIONS More terms from Alois P. Heinz, Jul 06 2022 STATUS approved

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Last modified August 19 20:38 EDT 2022. Contains 356231 sequences. (Running on oeis4.)