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A288842 Triangle (sans apex) of coefficients of terms of the form (eM_1)^j*(eM_2)^k re construction of triangle A287768. 0
1, 2, 3, 9, 6, 9, 36, 45, 18, 27, 135, 243, 189, 54, 81, 486, 1134, 1296, 729, 162, 243, 1701, 4860, 7290, 6075, 2673, 486, 729, 5832, 19683, 36450, 40095, 26244, 9477, 1458, 2187, 19683, 76545, 168399, 229635, 199017, 107163, 32805, 4374, 6561, 65610, 288684, 734832, 1194102, 1285956, 918540, 419904, 111537, 13122 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..54.

G. G. Wojnar, D. Sz. Wojnar, and L. Q. Brin, Universal Peculiar Linear Mean Relationships in All Polynomials, Table GW.n=3, p.22, arXiv:1706.08381 [math,GM], 2017.

FORMULA

T(n+1,k+1) = 3*T(n,k) + 3*T(n,k+1).

EXAMPLE

Triangle begins:

  1,  2;

  3,  9,  6;

  9, 36, 45, 18;

MATHEMATICA

T[1, 1] = 1; T[1, 2] = 2;

T[n_, k_] /; 1 <= k <= n+1 := T[n, k] = 3 T[n-1, k-1] + 3 T[n-1, k];

T[_, _] = 0;

Table[T[n, k], {n, 1, 9}, {k, 1, n+1}] // Flatten (* Jean-Fran├žois Alcover, Nov 16 2018 *)

CROSSREFS

Columns are: A000244, A288834, A288835, A288836, A288838, etc.

Cf. A287768.

Sequence in context: A168221 A011028 A224519 * A108694 A267896 A199858

Adjacent sequences:  A288839 A288840 A288841 * A288843 A288844 A288845

KEYWORD

nonn,tabf

AUTHOR

Gregory Gerard Wojnar, Jun 17 2017

STATUS

approved

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Last modified April 19 18:36 EDT 2019. Contains 322287 sequences. (Running on oeis4.)