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A164899 Binomial matrix (1,10^n) read by antidiagonals. 2
1, 1, 10, 1, 11, 100, 1, 12, 110, 1000, 1, 13, 121, 1100, 10000, 1, 14, 133, 1210, 11000, 100000, 1, 15, 146, 1331, 12100, 110000, 1000000, 1, 16, 160, 1464, 13310, 121000, 1100000, 10000000, 1, 17, 175, 1610, 14641, 133100, 1210000, 11000000, 100000000 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Antidiagonals sum up to A094704.

LINKS

Table of n, a(n) for n=1..45.

FORMULA

As a triangle T(n,k) read by rows, T(n,1) = 1, T(n,n)=10^(n-1), and T(n,k) = T(n-1, k) + T(n-1, k-1) otherwise. - Joerg Arndt, Dec 10 2016

EXAMPLE

Matrix begins:

  1, 10, 100, 1000, ...

  1, 11, 110, 1100, ...

  1, 12, 121, 1210, ...

  1, 13, 133, 1331, ...

  1, 14, 146, 1464, ...

  1, 15, 160, 1610, ...

CROSSREFS

Cf. A001020, A007318, A021093, A164844.

Sequence in context: A297352 A172171 A327723 * A164844 A287015 A130311

Adjacent sequences:  A164896 A164897 A164898 * A164900 A164901 A164902

KEYWORD

nonn,tabl

AUTHOR

Mark Dols, Aug 30 2009

STATUS

approved

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Last modified April 10 22:29 EDT 2021. Contains 342856 sequences. (Running on oeis4.)