A193660 - OEIS

A193660

Q-residue of the triangle A038207 of coefficients of (x+2)^n, where Q is the triangle given by t(i,j)=1 for 0<=i<=j. (See Comments.)

1, 2, 5, 22, 201, 3690, 131149, 9004286, 1204317329, 316525415890, 164556516205461, 169974659148800742, 349799994417738642265, 1436618749673583674658362, 11785996128174350460348176861, 193254862258295280115072223316430

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OFFSET

0,2

COMMENTS

For the definition of Q-residue, see A193649.

LINKS

Table of n, a(n) for n=0..15.

MATHEMATICA

q[n_, k_] := Coefficient[(x + 2)^n, x, k]; (* A038207 *)

r[0] = 1; r[k_] := Sum[q[k - 1, i] r[k - 1 - i], {i, 0, k - 1}]

p[n_, k_] := 1

v[n_] := Sum[p[n, k] r[n - k], {k, 0, n}]

Table[v[n], {n, 0, 16}] (* A038207 *)

TableForm[Table[q[i, k], {i, 0, 4}, {k, 0, i}]]

Table[r[k], {k, 0, 8}] (* A126443 *)

TableForm[Table[p[n, k], {n, 0, 4}, {k, 0, n}]]

CROSSREFS

Cf. A038207, A126443, A193649.

Sequence in context: A342967 A042933 A005203 * A090450 A137099 A068413

Adjacent sequences: A193657 A193658 A193659 * A193661 A193662 A193663

KEYWORD

nonn

AUTHOR

Clark Kimberling, Aug 02 2011

STATUS

approved