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A167371 Triangle, read by rows, given by [0,1,-1,0,0,0,0,0,0,0,0,...] DELTA [1,0,-1,1,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938. 0
1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Diagonal sums : A060576.

A167374*A154325 formatted as lower triangular matrix. [From Philippe Deléham, Nov 19 2009]

LINKS

Table of n, a(n) for n=0..104.

FORMULA

Sum_{k, 0<=k<=n}T(n,k)*x^k = A000007(n), A046698(n+1), A111286(n+1), A027327(n) for x= 0, 1, 2, 3 respectively.

G.f.: (1+x^2*y)/(1-x*y). - Philippe Deléham, Nov 09 2013

T(n,k) = T(n-1,k-1)for n>2, T(0,0) = T(1,1) = T(2,1) = T(2,2) = 1, T(1,0) = T(2,0) = 0, T(n,k) = 0 if k<0 or if k>n. - Philippe Deléham, Nov 09 2013

EXAMPLE

Rows begin :

{1},

{0, 1},

{0, 1, 1},

{0, 0, 1, 1},

{0, 0, 0, 1, 1},

{0, 0, 0, 0, 1, 1}, ...

CROSSREFS

Cf. A097806, A103451.

Sequence in context: A115955 A106344 A106346 * A127241 A087748 A117446

Adjacent sequences:  A167368 A167369 A167370 * A167372 A167373 A167374

KEYWORD

nonn,tabl

AUTHOR

Philippe Deléham, Nov 02 2009

STATUS

approved

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Last modified June 24 08:22 EDT 2017. Contains 288697 sequences.