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A327891 Table of A(n,k) read by antidiagonals, where A(n,1)=n-1; A(n,k) is the number of occurrences of A(n,k-1) in the row up to k-1. 1
0, 1, 1, 1, 1, 2, 2, 2, 1, 3, 1, 1, 1, 1, 4, 3, 3, 2, 1, 1, 5, 1, 1, 2, 2, 1, 1, 6, 4, 4, 3, 1, 2, 1, 1, 7, 1, 1, 1, 3, 1, 2, 1, 1, 8, 5, 5, 3, 2, 3, 1, 2, 1, 1, 9, 1, 1, 2, 2, 1, 3, 1, 2, 1, 1, 10, 6, 6, 4, 3, 4, 1, 3, 1, 2, 1, 1, 11, 1, 1, 1, 3, 2, 4, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

The terms of each row are quasi-periodic. Starting with n=3, the period starts at k=((n-1)^2)-1. The period is 2*(n-1) long, and we can find its terms with a simple mod function.

The second row is A158416.

LINKS

Table of n, a(n) for n=1..85.

EXAMPLE

Table begins:

  0, 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 1, 8, ...

  1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 1, 8, 1, ...

  2, 1, 1, 2, 2, 3, 1, 3, 2, 4, 1, 4, 2, 5, 1, 5, ...

  3, 1, 1, 2, 1, 3, 2, 2, 3, 3, 4, 1, 4, 2, 4, 3, ...

  4, 1, 1, 2, 1, 3, 1, 4, 2, 2, 3, 2, 4, 3, 3, 4, ...

  5, 1, 1, 2, 1, 3, 1, 4, 1, 5, 2, 2, 3, 2, 4, 2, ...

  6, 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 2, 2, 3, 2, ...

  7, 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 2, 2, ...

  8, 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 1, 8, ...

PROG

(VBA/Excel)

Sub A327891()

For m = 2 To 40

    For i = 2 To 40

        Cells(m, 1) = m - 2

        Cells(m, 2) = 1

        k = Cells(m, i)

        For j = i - 1 To 1 Step -1

            If k = Cells(m, j) Then

                Cells(m, i + 1) = 1 + Cells(m, j + 1)

                Exit For

            Else

                Cells(m, i + 1) = 1

            End If

        Next j

    Next i

Next m

S = 1

For m = 3 To 40

    For k = m - 2 To 1 Step -1

        n = m - k

        Cells(1, S) = Cells(n, k)

        S = S + 1

    Next k

Next m

End Sub

CROSSREFS

The second row is A158416.

Sequence in context: A138258 A308367 A205599 * A265671 A214707 A083039

Adjacent sequences:  A327888 A327889 A327890 * A327892 A327893 A327894

KEYWORD

nonn,tabl

AUTHOR

Ali Sada, Oct 02 2019

STATUS

approved

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Last modified March 3 14:58 EST 2021. Contains 341762 sequences. (Running on oeis4.)