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Search: id:A103920
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A103920 Central numbers in triangle A103728. +0
1
-1, 5, -17, -229, 853, 12113, -46061, -674761, 38733269, -150113729, 8829861373, 134484418361, -525740249453, -8058251350417, 486561579496253, -29557651813108141, 116325817932650581, -7111675770821993117, -110606189396709847609 (list; graph; listen)
OFFSET

2,2

COMMENT

a(n) given by the formula below is indeed an integer because A103728 is an integer triangle.

FORMULA

a(n)= A103728(n, b(n)), n>=2, with b(n):=(p(n)-1)/2=A005097(n-1), and p(n)= A000040(n) (n-th prime number).

a(n)=(1+((-1)^b(n))*2*b(n)*binomial(2*b(n), b(n)))/(2*b(n)+1), n>=2, with b(n) defined above.

CROSSREFS

Sequence in context: A090645 A096407 A062230 this_sequence A086362 A089894 A077718

Adjacent sequences: A103917 A103918 A103919 this_sequence A103921 A103922 A103923

KEYWORD

sign,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Mar 24 2005

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Last modified September 7 15:23 EDT 2008. Contains 143483 sequences.


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