

A038315


Triangle whose (i,j)th entry is binomial(i,j)*11^(ij)*1^j.


5



1, 11, 1, 121, 22, 1, 1331, 363, 33, 1, 14641, 5324, 726, 44, 1, 161051, 73205, 13310, 1210, 55, 1, 1771561, 966306, 219615, 26620, 1815, 66, 1, 19487171, 12400927, 3382071, 512435, 46585, 2541, 77, 1, 214358881, 155897368, 49603708
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OFFSET

0,2


COMMENTS

T(i,j) is the number of ipermutations of 12 objects a,b,c,d,e,f,g,h,i,j,k,l, with repetition allowed, containing j a's.  Zerinvary Lajos, Dec 21 2007


REFERENCES

B. N. Cyvin et al., Isomer enumeration of unbranched catacondensed polygonal systems with pentagons and heptagons, Match, No. 34 (Oct 1996), pp. 109121.


LINKS

Table of n, a(n) for n=0..38.


EXAMPLE

1
11, 1
121, 22, 1
1331, 363, 33, 1
14641, 5324, 726, 44, 1
161051, 73205, 13310, 1210, 55, 1
1771561, 966306, 219615, 26620, 1815, 66, 1
19487171, 12400927, 3382071, 512435, 46585, 2541, 77, 1
214358881, 155897368, 49603708, 9018856, 1024870, 74536, 3388, 88, 1


MAPLE

for i from 0 to 8 do seq(binomial(i, j)*11^(ij), j = 0 .. i) od; # Zerinvary Lajos, Dec 21 2007


MATHEMATICA

Table[Binomial[i, j]11^(ij), {i, 0, 10}, {j, 0, i}]//Flatten (* Harvey P. Dale, Nov 10 2022 *)


CROSSREFS

Sequence in context: A281523 A282420 A282683 * A218018 A093158 A335157
Adjacent sequences: A038312 A038313 A038314 * A038316 A038317 A038318


KEYWORD

nonn,tabl,easy


AUTHOR

N. J. A. Sloane


STATUS

approved



