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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, 1001100450084007000210001, 100120055012001260056000700, 10013006601650210012600280001, 1001400780220033002520084000800
OFFSET
0,2
FORMULA
a(n) = Sum_{k=0..floor(n/2)} binomial(n-k, k)*100^(n-2k).
From Philippe Deléham, Nov 23 2008: (Start)
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). (End)
E.g.f.: exp(50*x)*(cosh(sqrt(2501)*x) + 50*sinh(sqrt(2501)*x)/sqrt(2501)). - Stefano Spezia, Aug 05 2024
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Jul 14 2004
EXTENSIONS
a(12)-a(15) from Stefano Spezia, Aug 05 2024
STATUS
approved