Search: id:A128593 Results 1-1 of 1 results found. %I A128593 %S A128593 1,3,12,45,170,644,2451,9365,35908,138104,532589,2058782,7975216, %T A128593 30951921,120326060,468473348,1826415556,7129330988,27860219331, %U A128593 108984557708,426730087879,1672310507262,6558840830680,25742937514814 %N A128593 Column 1 of triangle A128592; a(n) = coefficient of q^(n+2) in the q-analog of the odd double factorials (2n+3)!! for n>=0. %F A128593 a(n) = [q^(n+2)] Product_{j=1..n+2} (1-q^(2j-1))/(1-q) for n>=0. %o A128593 (PARI) {a(n)=polcoeff(prod(j=1,n+2,(1-q^(2*j-1))/(1-q)),n+2,q)} %Y A128593 Cf. A128592; A128080; A001147 ((2n-1)!!); A128594 (column 2), A128595 (row sums). %Y A128593 Sequence in context: A064017 A005320 A062561 this_sequence A085481 A030195 A114515 %Y A128593 Adjacent sequences: A128590 A128591 A128592 this_sequence A128594 A128595 A128596 %K A128593 nonn %O A128593 0,2 %A A128593 Paul D. Hanna (pauldhanna(AT)juno.com), Mar 12 2007 Search completed in 0.001 seconds