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a(n) = Sum_{k=0..n+2} (k+1) * A026323(n, k).
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%I #8 Oct 27 2019 11:36:43

%S 1,6,27,101,357,1215,4043,13239,42849,137446,437775,1386369,4369661,

%T 13717842,42918903,133887207,416601657,1293386940,4007492727,

%U 12395015289,38276340453,118029405441,363483388935,1118056644207,3435356994857,10545018480000,32338826982603

%N a(n) = Sum_{k=0..n+2} (k+1) * A026323(n, k).

%K nonn

%O 0,2

%A _Clark Kimberling_

%E Title corrected and more terms from _Sean A. Irvine_, Oct 27 2019