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A099950 Number of 2-sparse nonoverlapping partitions of n. +0
1
1, 1, 1, 2, 4, 10, 27, 80, 255, 870, 3155, 12100, 48871, 207162, 918944, 4254690, 20513838, 102784942, 534205629, 2875098840, 15999114433, 91923562922, 544606671776, 3323112062994, 20860869818386, 134585869671342 (list; graph; listen)
OFFSET

0,4

REFERENCES

M. Klazar, Bell numbers, their relatives, and algebraic differential equations, J. Combin. Theory, A 102 (2003), 63-87.

LINKS

M. Klazar, Bell numbers, their relatives, and algebraic differential equations

PROGRAM

(PARI) {a(n)=local(A); if(n<0, 0, A=O(x^0); for(i=0, n\2, A=(1+x)/(1-x^2*subst(A, x, x/(1-x)))); polcoeff(A, n))} /* Michael Somos Sep 22 2005 */

CROSSREFS

Sequence in context: A108523 A114507 A127386 this_sequence A121690 A138356 A057786

Adjacent sequences: A099947 A099948 A099949 this_sequence A099951 A099952 A099953

KEYWORD

nonn,easy

AUTHOR

njas, Nov 12 2004

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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