Search: id:A097297
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%I A097297
%S A097297 6,37,133,364,840,1722,3234,5676,9438,15015,23023,34216,49504,69972,
%T A097297 96900,131784,176358,232617,302841,389620,495880,624910,780390,966420,
%U A097297 1187550,1448811,1755747,2114448,2531584,3014440,3570952,4209744
%N A097297 Seventh column (m=6) of (1,6)-Pascal triangle A096956.
%F A097297 a(n)= A096956(n+6, 6) = 6*b(n) - 5*b(n-1) = (n+36)*binomial(n+5, 5)/6, 
               with b(n):= A000579(n+6)=binomial(n+6, 6).
%F A097297 G.f.: (6-5*x)/(1-x)^7.
%Y A097297 Cf. A096959 (sixth column), A097298 (eighth column).
%Y A097297 Sequence in context: A067213 A003351 A129651 this_sequence A047670 A129552 
               A056338
%Y A097297 Adjacent sequences: A097294 A097295 A097296 this_sequence A097298 A097299 
               A097300
%K A097297 nonn,easy
%O A097297 0,1
%A A097297 Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), 
               Aug 13 2004

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