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A097659 1001^n, n >= 0. 3
1, 1001, 1002001, 1003003001, 1004006004001, 1005010010005001, 1006015020015006001, 1007021035035021007001, 1008028056070056028008001, 1009036084126126084036009001, 1010045120210252210120045010001 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

694 is the smallest exponent e such that 1001^e begins with a digit greater than 1: A000030(a(694)) = 2, A000030(a(693)) = 1. [From Reinhard Zumkeller, Nov 05 2010]

a(n) gives the n-th row of Pascals' triangle (A007318) as long as all the binomial coefficients have at most three digits, otherwise the binomial coefficients with more than three digits overlap. [Daniel Forgues, Aug 12 2012]

REFERENCES

Rozsa Peter, Playing with Infinity, New York, Dover Publications, 1957.

LINKS

Table of n, a(n) for n=0..10.

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (1001).

FORMULA

a(n)=1001*a(n-1), n>0 ; a(0)=1 . G.f.: 1/(1-1001*x). [From Philippe Deléham, Nov 30 2008]

PROG

(PARI) 1001^n \\ Charles R Greathouse IV, Jan 30 2012

CROSSREFS

Cf. A097660, A001020, A096884, A007318.

Sequence in context: A267599 A140927 A261544 * A143906 A215593 A204575

Adjacent sequences:  A097656 A097657 A097658 * A097660 A097661 A097662

KEYWORD

nonn,easy

AUTHOR

Reinhard Zumkeller, Aug 18 2004

STATUS

approved

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Last modified June 28 05:58 EDT 2017. Contains 288813 sequences.