Walk

Number of "walks" from the upper-left hand corner to nodes in this diagram, forbiding going up or turning left:

1 1 1 1 1 1 1
1 3 5 7 9 11 13
1 5 13 25 41 61 85
1 7 25 63 129 231 377
1 9 41 129 321 681 1289
1 11 61 231 681 1683 3653
1 13 85 377 1289 3653 8989
1 15 113 575 2241 7183 19825
1 17 145 833 3649 13073 40081
1 19 181 1159 5641 22363 75517
1 21 221 1561 8361 36365 134245
1 23 265 2047 11969 56695 227305
1 25 313 2625 16641 85305 369305
1 27 365 3303 22569 124515 579125
1 29 421 4089 29961 177045 880685