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A077605 Left summing matrix, S. 1
1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

If v is a sequence written as a column vector, then Sv is the sequence of partial sums of v. The inverse of S is the left differencing matrix; the transpose of S is the right summing matrix.

LINKS

Table of n, a(n) for n=1..105.

C. Kimberling, Matrix Transformations of Integer Sequences, J. Integer Seqs., Vol. 6, 2003.

FORMULA

S(n, k)=1 if 1<=k<=n, else S(n, k)=0.

EXAMPLE

Northwest corner:

1 0 0 0 0

1 1 0 0 0

1 1 1 0 0

1 1 1 1 0

1 1 1 1 1

CROSSREFS

Cf. A077606.

Sequence in context: A014282 A014555 A145575 * A014672 A015335 A014906

Adjacent sequences:  A077602 A077603 A077604 * A077606 A077607 A077608

KEYWORD

easy,nonn,tabl

AUTHOR

Clark Kimberling, Nov 11 2002

STATUS

approved

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Last modified November 19 08:40 EST 2018. Contains 317347 sequences. (Running on oeis4.)