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A096885 Related to diagonals of Pascal's triangle. 0
1, 100, 10001, 1000200, 100030001, 10004000300, 1000500060001, 100060010000400, 10007001500100001, 1000800210020000500, 100090028003500150001, 10010003600560035000600 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..11.

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (100,1).

FORMULA

a(n)=sum{k=0..floor(n/2), binomial(n-k, k)100^(n-2k) }.

a(n)=100*a(n-1)+a(n-2), n>1 ; a(0)=1, a(1)=100 . G.f.: 1/(1-100*x-x^2). [From Philippe Deléham, Nov 23 2008]

CROSSREFS

Cf. A096884, A007318, A000045.

Sequence in context: A029801 A098608 A045799 * A267449 A266752 A267523

Adjacent sequences:  A096882 A096883 A096884 * A096886 A096887 A096888

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Jul 14 2004

STATUS

approved

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Last modified March 25 13:25 EDT 2017. Contains 284080 sequences.